surf plot 3d - matrix multiplication

Hello,

could someone let me know how to get around this problem in the code.

i need to do the following: 1- plot the surf 2- multiply with RS matrix 3- make a new surf

angle1_min=0;    angle1_max=pi/2;  %all 8 Octant in 3d [0-2*pi]
angle2_min=0;    angle2_max=pi/2;  
number1=50;  number2=2500;  number3=51;  %xlsread

[angle1, angle2] = ndgrid(linspace(angle1_min,angle1_max,100),linspace(angle2_min,angle2_max,100))  % size 100*100 (for using surf)
x= number1*sin(angle1)*sin(angle2)
y= number2*cos(angle1)
z= number3*sin(angle1)*cos(angle2)
surf(x, y, z)                   % works fine

mat = [x; y; z]                 % size mat here 300*100 (depend on angle size) 
RS = [1 0 0; 0 1 0; 0 0 1]      % size 3*3
new_mat = RS * mat              % Matrix Multiplication is required- RS is to be kept         

surf(new_mat)   

i tried to use a function with for loop that return one point for mat with the size 1*3 then i multiplied it with RS matrix. at the end i plotted all the points using surf but its not what i expected.

Answer 1

[Housam]

rotate

Answer 2

[darova]

You forgot about dot here (bit-wise operator)

x= number1*sin(angle1).*sin(angle2);
y= number2*cos(angle1);
z= number3*sin(angle1).*cos(angle2);

You want to rotate data

mat = [x(:); y(:); z(:)]';                 % size mat here 1e4x3
RS = [1 0 0; 0 1 0; 0 0 1]      % size 3*3
new_mat = RS * mat              % Matrix Multiplication is required- RS is to be kept         
x1 = reshape( new_mat(1,:),size(x) );
y1 = reshape( new_mat(2,:),size(y) );
z1 = reshape( new_mat(3,:),size(z) );
surf(x1,y1,z1)

[Housam]

thanks, i used a matlab function called rotate.