How could I have these two erros when I did everything right (otherwise)?

My Code:

clear all
clc

%Initial Given Values
q = 6500; %in kW (kilowatts)
c_p = 1.03; %in kJ/(kg*K)
T_1 = 25; %Temperature of Inlet Air in Celcius

%Initial Guesses
X1 = 1200; %p in kPa
X2 = 400; %w in kg/s
X3 = 75; %E_c in kW
X4 = 100; %t_3 in Celcius
X5 = 50; %E_t in kW
X6 = 125; %t_2 in Celcius
X7 = 100; %E_s in kW

%Solution Vector
X = [X1; X2; X3; X4; X5; X6; X7];

%Jacobian Matrix Initialization
J = zeros(7,7);

%RHS Vector Initialization
F = zeros(7,1);

%First Iteration in the Iteration Process
J = JMat(J,X1,X2,X3,X4,X5,X6,X7);

Unrecognized function or variable 'c_p'.

Error in solution>JMat (line 99)
J(5,2) = c_p*T_1 - c_p*X6;

F = RHS(F,X1,X2,X3,X4,X5,X6,X7);

%Tolerance counter of Initial
I = 0;

%Tolerance
T = 10^(-8); %Larger to Save Time on Processing of Program.

%Error
E = 10^4; %Smaller to decrease time to get final iteration result.

%Additional Iterations
while (E > T)
    X_Prev = X;

    %Computation of Equation
    X = X - Ja\Fa;

    %Incremental Increase of Interations
    I = I + 1;

    %Solutions Get Updated with Each Iteration
    X1 = X(1); X2 = X(2); X3 = X(3); X4 = X(4); X5 = X(5); X6 = X(6); X7 = X(7);

    %New Jacobian Matrix with each Iteration
    J = JMat(Ja,X1,X2,X3,X4,X5,X6,X7);

    %New RHS Vector with each Iteration
    F = RHS(Fa,X1,X2,X3,X4,X5,X6,X7);

    X_New = X;

    %Determination of Error
    E=find_E(X_Prev, X_New);
end

%Jacobian Matrix Computation

function J = JMat(J,X1,X2,X3,X4,X5,X6,X7)
%First Equation & Differentiations
    J(1,1) = 1;
    J(1,2) = -20.5 + 5.6*X2;
    J(1,3) = 0;
    J(1,4) = 0;
    J(1,5) = 0;
    J(1,6) = 0;
    J(1,7) = 0;
    J(2,1) = .2 - .004*X1 + 103*exp(-abs(103*X1));
    J(2,2) = 0;
    J(2,3) = 1;
    J(2,4) = 0;
    J(2,5) = 0;
    J(2,6) = 0;
    J(2,7) = 0;
    J(3,1) = -.02332 - .96e-4*X1 -.000121*X4 + .5472e-5*X1*X4 + .1137e-6*X2^(2) - .4248*1.995e-08*X1*X4^(2);
    J(3,2) = 1;
    J(3,3) = .02644 - .3698e-4 -.000121 + .2736e-4*X1^(2) + .2274*X1*X4 - 4248*1.995e-08*X1^(2)*X4;
    J(3,4) = 0;
    J(3,5) = 0;
    J(3,6) = 0;
    J(3,7) = 0;
    J(4,1) = 10.06 - .066066*X1 -.050921*X4 + 1.705e-4*X1*X4 + .2356e-4*X4^(2) - .8946*3.162e-06*X1*X4^(2);
    J(4,2) = 0;
    J(4,3) = 0;
    J(4,4) = -7.4709 -.0078388*X4 - 0.050921*X1 + .8525E-4*X1^(2) + .4712e-4*X1*X4 - .8946*3.162e-06*X1*X4^(2);
    J(4,5) = 1;
    J(4,6) = 0;
    J(4,7) = 0;
    J(5,1) = 0;
    J(5,2) = c_p*T_1 - c_p*X6;
    J(5,3) = 1;
    J(5,4) = 0;
    J(5,5) = 0;
    J(5,6) = - X2*c_p;
    J(5,7) = 0;
    J(6,1) = 0;
    J(6,2) = -X6*c_p;
    J(6,3) = 0;
    J(6,4) = X6*c_p;
    J(6,5) = 0;
    J(6,1) = X4*c_p - X2*c_p;
    J(6,7) = 0;
    J(7,1) = 0;
    J(7,2) = 0;
    J(7,3) = -1;
    J(7,4) = 0;
    J(7,5) = 1;
    J(7,6) = 0;
    J(7,7) = -1;
end

%Computation of RHS Vector
function F = RHS(Fa,X1,X2,X3,X4,X5,X6,X7)
    F1 = X1 - 279 - 20.5*X2 + 2.8*X2^(2);
    F2 = X3 - 999 + .2*X1 - .002*X1^(2) - 1.5e-8 - exp(-abs(103*X1));
    F3 = X2 - 9.22 - .2342*X1 - .48e-4*X1^(2) + .02644*X4 - .1849e-4*X4^(2) - .000121*X1*X4 + .2736e-4*X1(2)*X4 + .1137e-6*X1*X4^(2) - .2124*1.995e-08*X1^(2)*X4^(2);
    F4 = X5 - 1693.2 + 10.06*X1 - .033033*X1^(2) - 7.4709*X4 - .003919*X4^(2) - .050921*X1*X4 + .8525e-4*X1^(2)*X4 + .2356e-4*X1*X4^(2) - .4473*3.162e-06*X1^(2)*X4^(2);
    F5 = X3 - X2*c_p + X2*c_p*T_1;
    F6 = q -X6*X2*c_p + X6*c_p*X4;
    F7 = X5 - X3 - X7;
end

%Error Computations
function E = find_E(X_Prev, X_New)
    termA = (X_New - X_Prev)^2;
    termA = sum(termA(:))^0.5;
    termB = X_New.^2;
    termB = sum(termB(:))^0.5;
    E = termA/termB;
end

Answer 1

[Torsten]

c_p defined in your script does not mean that it is also visible in your functions.

Either define the functions as nested functions or pass c_p to the functions in which it is needed.

It would work, but you should avoid redefining c_p in the functions or declaring it as a global variable.

This would work, e.g.:

%Initial Given Values
q = 6500; %in kW (kilowatts)
c_p = 1.03; %in kJ/(kg*K)
T_1 = 25; %Temperature of Inlet Air in Celcius
%Initial Guesses
X1 = 1200; %p in kPa
X2 = 400; %w in kg/s
X3 = 75; %E_c in kW
X4 = 100; %t_3 in Celcius
X5 = 50; %E_t in kW
X6 = 125; %t_2 in Celcius
X7 = 100; %E_s in kW
%Solution Vector
X = [X1; X2; X3; X4; X5; X6; X7];
%Jacobian Matrix Initialization
J = zeros(7,7);
%RHS Vector Initialization
F = zeros(7,1);
%First Iteration in the Iteration Process
syms X1s X2s X3s X4s X5s X6s X7s
Fs = RHS(X1s,X2s,X3s,X4s,X5s,X6s,X7s,q,c_p,T_1);
Js = jacobian(Fs);
J = double(subs(Js,[X1s,X2s,X3s,X4s,X5s,X6s,X7s],[X1,X2,X3,X4,X5,X6,X7]));
F = double(subs(Fs,[X1s,X2s,X3s,X4s,X5s,X6s,X7s],[X1,X2,X3,X4,X5,X6,X7]));
%Tolerance counter of Initial
I = 0;
%Tolerance
T = 10^(-8); %Larger to Save Time on Processing of Program.
%Error
E = 10^4; %Smaller to decrease time to get final iteration result.
%Additional Iterations
while (E > T)
    X_Prev = X;
    %Computation of Equation
    X = X - J\F;
    %Incremental Increase of Interations
    I = I + 1;
    %Solutions Get Updated with Each Iteration
    X1 = X(1); X2 = X(2); X3 = X(3); X4 = X(4); X5 = X(5); X6 = X(6); X7 = X(7);
    J = double(subs(Js,[X1s,X2s,X3s,X4s,X5s,X6s,X7s],[X1,X2,X3,X4,X5,X6,X7]));
    F = double(subs(Fs,[X1s,X2s,X3s,X4s,X5s,X6s,X7s],[X1,X2,X3,X4,X5,X6,X7]));
    X_New = X;
    %Determination of Error
    E=norm(X_Prev- X_New)
end

E = 5.5839e+04

E = 3.0211e+05

E = 8.7865e+06

E = 6.1549e+07

E = 1.3673e+08

E = 5.9649e+07

E = 3.6005e+07

E = 7.3927e+08

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.431061e-18.

E = 2.2792e+11

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.544429e-18.

E = 7.7676e+10

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.182247e-19.

E = 8.1774e+10

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.806065e-20.

E = 5.4020e+11

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.847536e-23.

E = 2.0017e+13

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.720376e-23.

E = 5.0481e+13

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.294477e-26.

E = 5.5802e+14

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.940552e-28.

E = 1.8164e+17

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.598853e-38.

E = 2.2978e+22

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.555966e-38.

E = 1.1434e+22

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.470660e-38.

E = 5.7133e+21

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.294937e-38.

E = 2.8492e+21

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.920384e-38.

E = 1.4083e+21

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.088944e-38.

E = 6.6359e+20

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.239809e-38.

E = 1.8630e+20

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.187302e-38.

E = 2.3970e+21

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.179707e-42.

E = 3.3394e+22

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.697763e-41.

E = 4.8627e+22

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.671214e-46.

E = 1.4115e+25

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.835269e-46.

E = 2.9497e+24

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.963784e-47.

E = 3.8068e+25

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.781978e-50.

E = 5.1348e+26

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.096671e-49.

E = 3.4007e+26

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.376846e-52.

E = 1.2181e+28

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.914956e-55.

E = 1.9491e+29

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.616954e-56.

E = 7.4789e+29

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.130135e-59.

E = 1.0344e+32

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.357275e-59.

E = 5.5066e+31

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.774137e-59.

E = 2.4973e+31

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.415812e-59.

E = 1.0218e+31

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.457198e-59.

E = 2.2785e+31

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.501679e-62.

E = 6.5706e+32

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.886917e-62.

E = 8.0761e+33

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.576697e-66.

E = 1.8503e+35

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.391174e-66.

E = 7.7823e+34

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.977270e-67.

E = 7.2164e+33

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.628185e-68.

E = 5.0077e+36

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.161257e-74.

E = 6.1571e+39

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.169031e-74.

E = 3.1235e+39

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.151258e-74.

E = 1.5338e+39

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.474162e-75.

E = 7.0051e+38

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.317012e-73.

E = 8.0794e+38

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.545251e-77.

E = 1.8376e+40

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.030906e-77.

E = 3.4323e+40

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.790643e-80.

E = 8.2254e+41

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.695891e-82.

E = 3.0143e+42

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.967298e-83.

E = 4.2969e+43

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.442082e-87.

E = 2.4048e+45

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.290130e-87.

E = 2.8786e+44

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.606036e-88.

E = 3.1886e+46

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.938609e-93.

E = 3.0157e+48

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.320260e-93.

E = 1.4657e+48

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.036079e-93.

E = 7.9529e+47

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.038850e-94.

E = 1.3676e+50

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.819399e-102.

E = 2.4851e+53

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.906590e-102.

E = 1.2626e+53

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.799938e-102.

E = 6.2831e+52

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.162908e-101.

E = 2.7468e+52

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.061407e-101.

E = 2.4802e+52

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.649146e-102.

E = 1.6591e+53

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.759971e-106.

E = 7.0046e+54

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.332608e-106.

E = 2.9323e+54

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.705075e-107.

E = 4.1606e+54

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.021210e-110.

E = 5.7848e+56

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.747159e-111.

E = 3.1067e+58

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.179495e-118.

E = 5.2097e+61

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.194996e-118.

E = 2.6411e+61

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.183973e-118.

E = 1.3023e+61

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.334433e-119.

E = 6.3484e+60

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.522893e-118.

E = 3.1439e+60

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.244477e-120.

E = 1.5580e+62

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.950448e-123.

E = 1.9287e+63

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.512263e-123.

E = 1.3181e+63

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.155273e-124.

E = 1.8566e+64

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.513057e-128.

E = 1.1768e+66

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.015090e-128.

E = 1.6576e+65

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.319853e-129.

E = 1.1419e+67

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.514972e-134.

E = 6.2067e+68

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.151440e-134.

E = 2.6277e+68

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.069216e-134.

E = 8.6527e+68

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.007056e-140.

E = 4.6591e+72

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.162254e-140.

E = 2.4221e+72

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.446514e-140.

E = 1.1684e+72

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.897992e-140.

E = 5.2848e+71

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.792728e-140.

E = 2.3004e+71

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.361396e-142.

E = 9.0672e+73

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.116978e-149.

E = 3.4701e+77

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.124087e-149.

E = 1.7541e+77

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.130328e-149.

E = 8.7118e+76

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.094715e-149.

E = 4.2528e+76

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.440639e-150.

E = 1.9977e+76

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.016232e-150.

E = 5.8855e+76

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.669404e-153.

E = 1.4704e+78

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.796721e-154.

E = 2.7828e+79

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.763588e-159.

E = 4.1794e+81

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.567560e-159.

E = 2.0805e+81

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.181587e-159.

E = 9.8632e+80

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.271121e-160.

E = 1.1303e+82

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.124632e-164.

E = 4.3767e+83

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.580343e-164.

E = 1.5425e+83

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.707398e-165.

E = 7.7058e+83

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.173460e-168.

E = 4.9295e+85

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.064793e-169.

E = 2.6561e+86

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.573746e-172.

E = 4.1174e+87

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.112815e-171.

E = 1.9477e+87

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.176210e-173.

E = 1.2011e+89

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.231731e-177.

E = 4.2114e+90

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.948677e-178.

E = 1.9894e+90

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.700731e-177.

E = 3.8152e+90

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.170355e-180.

E = 9.5428e+91

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.206915e-180.

E = 1.1454e+93

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.544471e-184.

E = 1.5774e+94

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.291836e-184.

E = 7.1462e+93

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.614030e-184.

E = 1.7376e+93

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.966558e-185.

E = 4.7307e+94

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.503660e-188.

E = 8.5246e+95

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.636065e-188.

E = 3.8645e+95

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.532458e-190.

E = 6.9100e+97

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.530641e-197.

E = 5.8003e+100

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.579861e-197.

E = 2.9420e+100

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.267733e-197.

E = 1.4332e+100

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.897639e-197.

E = 7.0471e+99

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.019706e-197.

E = 1.8895e+100

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.931673e-200.

E = 5.1120e+101

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.684639e-201.

E = 6.8386e+102

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.448591e-205.

E = 5.0858e+104

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.194462e-205.

E = 2.3930e+104

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.235823e-205.

E = 1.8269e+104

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.098497e-206.

E = 9.7183e+105

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.260755e-213.

E = 7.1905e+108

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.336068e-213.

E = 3.4457e+108

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.021478e-213.

E = 1.7041e+108

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.772241e-213.

E = 6.0268e+107

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.615242e-215.

E = 3.1799e+109

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.498180e-216.

E = 6.1406e+109

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.531624e-221.

E = 4.2308e+112

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.550899e-221.

E = 1.4126e+112

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.627405e-221.

E = 1.3941e+112

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.544063e-222.

E = 9.0305e+112

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.496678e-225.

E = 3.0036e+114

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.803039e-226.

E = 1.1673e+115

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.799799e-229.

E = 1.9885e+116

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.943884e-229.

E = 3.1144e+115

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.513144e-233.

E = 1.9466e+118

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.985853e-233.

E = 7.2644e+117

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.451995e-233.

E = 4.3472e+118

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.390362e-237.

E = 2.2890e+120

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.457350e-237.

E = 4.2809e+120

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.033121e-240.

E = 4.2643e+121

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.658780e-241.

E = 6.3021e+122

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.602869e-244.

E = 9.0352e+123

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.829382e-245.

E = 7.0596e+123

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.474979e-243.

E = 7.8439e+122

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.211423e-246.

E = 1.0556e+125

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.918033e-248.

E = 6.9930e+125

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.229815e-249.

E = 2.1242e+126

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.497957e-252.

E = 4.5818e+127

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.333534e-253.

E = 8.0118e+128

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.149850e-258.

E = 1.0079e+131

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.015579e-258.

E = 5.5535e+130

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.725191e-258.

E = 1.9286e+130

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.843690e-258.

E = 1.5561e+131

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.162949e-262.

E = 5.3384e+132

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.562557e-262.

E = 5.7938e+132

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.454548e-263.

E = 2.2506e+133

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.747605e-265.

E = 6.0168e+134

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.170896e-269.

E = 5.5651e+135

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.129117e-267.

E = 4.9411e+135

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.391932e-269.

E = 2.3545e+136

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.415243e-272.

E = 9.3789e+137

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.218941e-273.

E = 6.2065e+137

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.045415e-272.

E = 1.4410e+138

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.164427e-276.

E = 5.8337e+139

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.070482e-276.

E = 1.1588e+139

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.508462e-279.

E = 2.6835e+141

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.098619e-280.

E = 3.7031e+142

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.733076e-285.

E = 2.5348e+144

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.724959e-285.

E = 7.6970e+143

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.412553e-285.

E = 1.9385e+144

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.169844e-286.

E = 7.5065e+144

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.485842e-288.

E = 1.9413e+146

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.147096e-291.

E = 1.4517e+147

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.380332e-289.

E = 1.2519e+147

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.509324e-293.

E = 3.1566e+148

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.507741e-293.

E = 2.1199e+148

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.223807e-297.

E = 1.2336e+150

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.017981e-297.

E = 2.2510e+150

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.751215e-301.

E = 1.2433e+152

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.730818e-301.

E = 3.6719e+152

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.062876e-304.

E = 2.7815e+153

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.994664e-304.

E = 6.3869e+153

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.979664e-307.

E = 1.5900e+155

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.436190e-308.

E = 2.5854e+156

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.276408e-313.

E = 2.8204e+158

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.609554e-313.

E = 1.3904e+158

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.219755e-313.

E = 6.7007e+157

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.079611e-313.

E = 9.3461e+158

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.118120e-319.

E = 1.5802e+162

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.077458e-319.

E = 7.4689e+161

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.700979e-320.

E = 3.5007e+161

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.843303e-320.

E = 8.6699e+160

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.283583e-320.

E = 2.2007e+162

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.940656e-324.

E = 3.7219e+163

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.482197e-323.

E = 1.7215e+163

Warning: Matrix is singular to working precision.

E = 1.6768e+165

Warning: Matrix is singular to working precision.

E = 2.5047e+167

Warning: Matrix is singular to working precision.

E = 1.2499e+167

Warning: Matrix is singular to working precision.

E = 5.8426e+166

Warning: Matrix is singular to working precision.

E = 5.0648e+167

Warning: Matrix is singular to working precision.

E = 1.6850e+169

Warning: Matrix is singular to working precision.

E = 1.4114e+169

Warning: Matrix is singular to working precision.

E = 4.4847e+169

Warning: Matrix is singular to working precision.

E = 1.1642e+171

Warning: Matrix is singular to working precision.

E = 2.6482e+171

Warning: Matrix is singular to working precision.

E = 8.6890e+172

Warning: Matrix is singular to working precision.

E = 1.7883e+174

Warning: Matrix is singular to working precision.

E = 8.0359e+173

Warning: Matrix is singular to working precision.

E = 2.8613e+175

Warning: Matrix is singular to working precision.

E = 1.7611e+177

Warning: Matrix is singular to working precision.

E = 5.0858e+176

Warning: Matrix is singular to working precision.

E = 1.7270e+177

Warning: Matrix is singular to working precision.

E = 7.5918e+177

Warning: Matrix is singular to working precision.

E = 3.4275e+179

Warning: Matrix is singular to working precision.

E = 2.0838e+181

Warning: Matrix is singular to working precision.

E = 1.0025e+181

Warning: Matrix is singular to working precision.

E = 6.3216e+180

Warning: Matrix is singular to working precision.

E = 2.1948e+182

Warning: Matrix is singular to working precision.

E = 1.1707e+183

Warning: Matrix is singular to working precision.

E = 3.1266e+183

Warning: Matrix is singular to working precision.

E = 7.9970e+184

Warning: Matrix is singular to working precision.

E = 6.4774e+185

Warning: Matrix is singular to working precision.

E = 1.8962e+187

Warning: Matrix is singular to working precision.

E = 8.5936e+186

Warning: Matrix is singular to working precision.

E = 8.3661e+187

Warning: Matrix is singular to working precision.

E = 2.9099e+189

Warning: Matrix is singular to working precision.

E = 1.8578e+189

Warning: Matrix is singular to working precision.

E = 3.9026e+189

Warning: Matrix is singular to working precision.

E = 1.8316e+191

Warning: Matrix is singular to working precision.

E = 1.0121e+191

Warning: Matrix is singular to working precision.

E = 1.1350e+193

Warning: Matrix is singular to working precision.

E = 2.6482e+194

Warning: Matrix is singular to working precision.

E = 6.2852e+196

Warning: Matrix is singular to working precision.

E = 3.1630e+196

Warning: Matrix is singular to working precision.

E = 1.4865e+196

Warning: Matrix is singular to working precision.

E = 1.9913e+196

Warning: Matrix is singular to working precision.

E = 4.8230e+197

Warning: Matrix is singular to working precision.

E = 7.6732e+197

Warning: Matrix is singular to working precision.

E = 4.4701e+199

Warning: Matrix is singular to working precision.

E = 1.6655e+200

Warning: Matrix is singular to working precision.

E = 1.6112e+201

Warning: Matrix is singular to working precision.

E = 1.4065e+201

Warning: Matrix is singular to working precision.

E = 3.5364e+202

Warning: Matrix is singular to working precision.

E = 2.0462e+202

Warning: Matrix is singular to working precision.

E = 1.4203e+204

Warning: Matrix is singular to working precision.

E = 4.4043e+204

Warning: Matrix is singular to working precision.

E = 2.1673e+206

Warning: Matrix is singular to working precision.

E = 2.4687e+206

Warning: Matrix is singular to working precision.

E = 9.7405e+206

Warning: Matrix is singular to working precision.

E = 2.6213e+208

Warning: Matrix is singular to working precision.

E = 2.4046e+209

Warning: Matrix is singular to working precision.

E = 1.4601e+209

Warning: Matrix is singular to working precision.

E = 4.3979e+210

Warning: Matrix is singular to working precision.

E = 1.3821e+211

Warning: Matrix is singular to working precision.

E = 1.8479e+212

Warning: Matrix is singular to working precision.

E = 2.8345e+215

Warning: Matrix is singular to working precision.

E = 1.3459e+215

Warning: Matrix is singular to working precision.

E = 6.3684e+214

Warning: Matrix is singular to working precision.

E = 1.8937e+214

Warning: Matrix is singular to working precision.

E = 2.0789e+215

Warning: Matrix is singular to working precision.

E = 1.7255e+216

Warning: Matrix is singular to working precision.

E = 2.5509e+216

Warning: Matrix is singular to working precision.

E = 6.0886e+217

Warning: Matrix is singular to working precision.

E = 8.9740e+218

Warning: Matrix is singular to working precision.

E = 6.0463e+220

Warning: Matrix is singular to working precision.

E = 2.0380e+220

Warning: Matrix is singular to working precision.

E = 2.4105e+220

Warning: Matrix is singular to working precision.

E = 4.2742e+220

Warning: Matrix is singular to working precision.

E = 2.5586e+222

Warning: Matrix is singular to working precision.

E = 5.1653e+222

Warning: Matrix is singular to working precision.

E = 2.7593e+224

Warning: Matrix is singular to working precision.

E = 6.8517e+224

Warning: Matrix is singular to working precision.

E = 4.4404e+225

Warning: Matrix is singular to working precision.

E = 2.8924e+226

Warning: Matrix is singular to working precision.

E = 9.9166e+227

Warning: Matrix is singular to working precision.

E = 6.9556e+227

Warning: Matrix is singular to working precision.

E = 1.7729e+228

Warning: Matrix is singular to working precision.

E = 6.2334e+229

Warning: Matrix is singular to working precision.

E = 4.9073e+229

Warning: Matrix is singular to working precision.

E = 2.3644e+231

Warning: Matrix is singular to working precision.

E = 1.6319e+231

Warning: Matrix is singular to working precision.

E = 1.5490e+233

Warning: Matrix is singular to working precision.

E = 2.3988e+234

Warning: Matrix is singular to working precision.

E = 2.3668e+236

Warning: Matrix is singular to working precision.

E = 1.1620e+236

Warning: Matrix is singular to working precision.

E = 5.7289e+235

Warning: Matrix is singular to working precision.

E = 1.4998e+238

Warning: Matrix is singular to working precision.

E = 3.7624e+241

Warning: Matrix is singular to working precision.

E = 1.9046e+241

Warning: Matrix is singular to working precision.

E = 9.4306e+240

Warning: Matrix is singular to working precision.

E = 4.5583e+240

Warning: Matrix is singular to working precision.

E = 2.1656e+240

Warning: Matrix is singular to working precision.

E = 9.8554e+241

Warning: Matrix is singular to working precision.

E = 4.6173e+243

Warning: Matrix is singular to working precision.

E = 1.8363e+243

Warning: Matrix is singular to working precision.

E = 6.7390e+241

Warning: Matrix is singular to working precision.

E = 2.9048e+244

Warning: Matrix is singular to working precision.

E = 2.7492e+244

Warning: Matrix is singular to working precision.

E = 1.9863e+243

Warning: Matrix is singular to working precision.

E = 7.2568e+242

Warning: Matrix is singular to working precision.

E = 2.2604e+243

Warning: Matrix is singular to working precision.

E = 9.5876e+243

Warning: Matrix is singular to working precision.

E = 3.4096e+245

Warning: Matrix is singular to working precision.

E = 9.3537e+246

Warning: Matrix is singular to working precision.

E = 4.2625e+246

Warning: Matrix is singular to working precision.

E = 2.7887e+247

Warning: Matrix is singular to working precision.

E = 8.3780e+248

Warning: Matrix is singular to working precision.

E = 1.3326e+249

Warning: Matrix is singular to working precision.

E = 6.3316e+249

Warning: Matrix is singular to working precision.

E = 8.9531e+251

Warning: Matrix is singular to working precision.

E = 1.5645e+255

Warning: Matrix is singular to working precision.

E = 7.9288e+254

Warning: Matrix is singular to working precision.

E = 3.9117e+254

Warning: Matrix is singular to working precision.

E = 1.8700e+254

Warning: Matrix is singular to working precision.

E = 1.0114e+254

Warning: Matrix is singular to working precision.

E = 5.4158e+255

Warning: Matrix is singular to working precision.

E = 1.2365e+257

Warning: Matrix is singular to working precision.

E = 5.5760e+256

Warning: Matrix is singular to working precision.

E = 1.0643e+258

Warning: Matrix is singular to working precision.

E = 5.0560e+259

Warning: Matrix is singular to working precision.

E = 9.3774e+257

Warning: Matrix is singular to working precision.

E = 1.5658e+261

Warning: Matrix is singular to working precision.

E = 4.1838e+264

Warning: Matrix is singular to working precision.

E = 2.0380e+264

Warning: Matrix is singular to working precision.

E = 1.0025e+264

Warning: Matrix is singular to working precision.

E = 4.5748e+263

Warning: Matrix is singular to working precision.

E = 3.7949e+262

Warning: Matrix is singular to working precision.

E = 4.3348e+265

Warning: Matrix is singular to working precision.

E = 1.2741e+269

Warning: Matrix is singular to working precision.

E = 6.4470e+268

Warning: Matrix is singular to working precision.

E = 3.1958e+268

Warning: Matrix is singular to working precision.

E = 1.5504e+268

Warning: Matrix is singular to working precision.

E = 7.2752e+267

Warning: Matrix is singular to working precision.

E = 1.4234e+269

Warning: Matrix is singular to working precision.

E = 6.8426e+270

Warning: Matrix is singular to working precision.

E = 2.2368e+269

Warning: Matrix is singular to working precision.

E = 9.6570e+272

Warning: Matrix is singular to working precision.

E = 2.4503e+277

Warning: Matrix is singular to working precision.

E = 1.2170e+277

Warning: Matrix is singular to working precision.

E = 6.0767e+276

Warning: Matrix is singular to working precision.

E = 3.0205e+276

Warning: Matrix is singular to working precision.

E = 1.4685e+276

Warning: Matrix is singular to working precision.

E = 6.1077e+275

Warning: Matrix is singular to working precision.

E = 4.8914e+275

Warning: Matrix is singular to working precision.

E = 6.5645e+275

Warning: Matrix is singular to working precision.

E = 9.5434e+277

Warning: Matrix is singular to working precision.

E = 4.5622e+279

Warning: Matrix is singular to working precision.

E = 5.7207e+282

Warning: Matrix is singular to working precision.

E = 2.9016e+282

Warning: Matrix is singular to working precision.

E = 1.4247e+282

Warning: Matrix is singular to working precision.

E = 6.7271e+281

Warning: Matrix is singular to working precision.

E = 6.0973e+281

Warning: Matrix is singular to working precision.

E = 1.6123e+283

Warning: Matrix is singular to working precision.

E = 2.5604e+283

Warning: Matrix is singular to working precision.

E = 6.2663e+284

Warning: Matrix is singular to working precision.

E = 1.9163e+285

Warning: Matrix is singular to working precision.

E = 1.5529e+287

Warning: Matrix is singular to working precision.

E = 5.3758e+290

Warning: Matrix is singular to working precision.

E = 2.6282e+290

Warning: Matrix is singular to working precision.

E = 1.2978e+290

Warning: Matrix is singular to working precision.

E = 6.0734e+289

Warning: Matrix is singular to working precision.

E = 1.4523e+289

Warning: Matrix is singular to working precision.

E = 4.2607e+290

Warning: Matrix is singular to working precision.

E = 8.3155e+291

Warning: Matrix is singular to working precision.

E = 3.7573e+291

Warning: Matrix is singular to working precision.

E = 7.6334e+293

Warning: Matrix is singular to working precision.

E = 4.5380e+297

Warning: Matrix is singular to working precision.

E = 2.2335e+297

Warning: Matrix is singular to working precision.

E = 1.1093e+297

Warning: Matrix is singular to working precision.

E = 5.3715e+296

Warning: Matrix is singular to working precision.

E = 2.1514e+296

Warning: Matrix is singular to working precision.

E = 2.8519e+296

Warning: Matrix is singular to working precision.

E = 6.5118e+296

Warning: Matrix is singular to working precision.

E = 2.7010e+298

Warning: Matrix is singular to working precision.

E = 1.7218e+297

Warning: Matrix is singular to working precision.

E = 1.3060e+300

Warning: Matrix is singular to working precision.

E = 1.9556e+301

Warning: Matrix is singular to working precision.

E = 8.4673e+302

Warning: Matrix is singular to working precision.

E = 3.4786e+302

Warning: Matrix is singular to working precision.

E = 2.9727e+301

Warning: Matrix is singular to working precision.

E = 3.0105e+304

Warning: Matrix is singular to working precision.

E = NaN

%Computation of RHS Vector
function F = RHS(X1,X2,X3,X4,X5,X6,X7,q,c_p,T_1)
    F1 = X1 - 279 - 20.5*X2 + 2.8*X2^(2);
    F2 = X3 - 999 + .2*X1 - .002*X1^(2) - 1.5e-8 - exp(-abs(103*X1));
    F3 = X2 - 9.22 - .2342*X1 - .48e-4*X1^(2) + .02644*X4 - .1849e-4*X4^(2) - .000121*X1*X4 + .2736e-4*X1^(2)*X4 + .1137e-6*X1*X4^(2) - .2124*1.995e-08*X1^(2)*X4^(2);
    F4 = X5 - 1693.2 + 10.06*X1 - .033033*X1^(2) - 7.4709*X4 - .003919*X4^(2) - .050921*X1*X4 + .8525e-4*X1^(2)*X4 + .2356e-4*X1*X4^(2) - .4473*3.162e-06*X1^(2)*X4^(2);
    F5 = X3 - X2*c_p + X2*c_p*T_1;
    F6 = q -X6*X2*c_p + X6*c_p*X4;
    F7 = X5 - X3 - X7;
    F = [F1;F2;F3;F4;F5;F6;F7];
end

[Torsten]

The professional MATLAB solver doesn't succeed, either, with your set of equations:

%Initial Given Values
q = 6500; %in kW (kilowatts)
c_p = 1.03; %in kJ/(kg*K)
T_1 = 25; %Temperature of Inlet Air in Celcius
%Initial Guesses
X0 = zeros(7,1);
X0(1) = 1200; %p in kPa
X0(2) = 400; %w in kg/s
X0(3) = 75; %E_c in kW
X0(4) = 100; %t_3 in Celcius
X0(5) = 50; %E_t in kW
X0(6) = 125; %t_2 in Celcius
X0(7) = 100; %E_s in kW
norm(RHS(X0(1),X0(2),X0(3),X0(4),X0(5),X0(6),X0(7),q,c_p,T_1))

ans = 4.4506e+05

options = optimset('MaxFunEvals',5000000,'MaxIter',5000000);
sol_X = fsolve(@(x)RHS(x(1),x(2),x(3),x(4),x(5),x(6),x(7),q,c_p,T_1),X0,options)

Solver stopped prematurely.

fsolve stopped because it exceeded the function evaluation limit,
options.MaxFunctionEvaluations = 5.000000e+06.

sol_X = 7×1

1.0e+03 * -0.0343 -0.0094 0.6204 -0.9298 2.3711 0.0069 1.7513

norm(RHS(sol_X(1),sol_X(2),sol_X(3),sol_X(4),sol_X(5),sol_X(6),sol_X(7),q,c_p,T_1))

ans = 570.6358

%Computation of RHS Vector
function F = RHS(X1,X2,X3,X4,X5,X6,X7,q,c_p,T_1)
    F1 = X1 - 279 - 20.5*X2 + 2.8*X2^(2);
    F2 = X3 - 999 + .2*X1 - .002*X1^(2) - 1.5e-8 - exp(-abs(103*X1));
    F3 = X2 - 9.22 - .2342*X1 - .48e-4*X1^(2) + .02644*X4 - .1849e-4*X4^(2) - .000121*X1*X4 + .2736e-4*X1^(2)*X4 + .1137e-6*X1*X4^(2) - .2124*1.995e-08*X1^(2)*X4^(2);
    F4 = X5 - 1693.2 + 10.06*X1 - .033033*X1^(2) - 7.4709*X4 - .003919*X4^(2) - .050921*X1*X4 + .8525e-4*X1^(2)*X4 + .2356e-4*X1*X4^(2) - .4473*3.162e-06*X1^(2)*X4^(2);
    F5 = X3 - X2*c_p + X2*c_p*T_1;
    F6 = q -X6*X2*c_p + X6*c_p*X4;
    F7 = X5 - X3 - X7;
    F = [F1;F2;F3;F4;F5;F6;F7];
end