Sum matrixes from cells

Right now the code gives A matrix which are saved as cells in C. What I want to do at the final step, is to sum all A matrix that was given in every loop. How can I do that? Maybe exctract the matrix from C and sum them all together?! I dont know.( k is a number)

clear 
clc
format long
k = input("mesie:");
for i=1:k
    A=zeros(k+1);
    L=zeros(2,k+1);
    L(1,i)=1;
    L(2,i+1)=1;
    M1 = [2 1;1 2];
    A = L'*M1*L;
    C{i}=A;
end

Answer 1

[Voss]

sum(cat(3,C{:}),3)

[Christos]

Thank you very much!!

[Voss]

Demonstration:

clear 
clc
format long
% k = input("mesie:");
k = 5;
for i=1:k
    A=zeros(k+1);
    L=zeros(2,k+1);
    L(1,i)=1;
    L(2,i+1)=1;
    M1 = [2 1;1 2];
    A = L'*M1*L;
    C{i}=A;
end

A_total = sum(cat(3,C{:}),3)

A_total = 6×6

2 1 0 0 0 0 1 4 1 0 0 0 0 1 4 1 0 0 0 0 1 4 1 0 0 0 0 1 4 1 0 0 0 0 1 2

[Voss]

You're welcome!

Answer 2

[Sibghat]

Hopefully this will help...

clear 
clc
format long
% The 'input' function can not be used here. So I have set a default value 3 for the variable k.
k = 3;
C = cell(1, k); % Preallocate cell array
summed_matrix = zeros(k+1); % Initialize summed_matrix
for i = 1:k
    A = zeros(k+1);
    L = zeros(2, k+1);
    L(1, i) = 1;
    L(2, i+1) = 1;
    M1 = [2 1; 1 2];
    A = L' * M1 * L;
    C{i} = A;
    % Accumulate each matrix into summed_matrix
    summed_matrix = summed_matrix + A;
end

% Display all matrices stored in cell array C
for i = 1:k
    disp(['Matrix C{' num2str(i) '}']);
    disp(C{i});
end

Matrix C{1}

     2     1     0     0
     1     2     0     0
     0     0     0     0
     0     0     0     0

Matrix C{2}

     0     0     0     0
     0     2     1     0
     0     1     2     0
     0     0     0     0

Matrix C{3}

     0     0     0     0
     0     0     0     0
     0     0     2     1
     0     0     1     2

disp('Sum of all matrices:');

Sum of all matrices:

disp(summed_matrix);

     2     1     0     0
     1     4     1     0
     0     1     4     1
     0     0     1     2