Write a MATLAB function that computes the product of two matrices; the function

Question

Write a MATLAB function that computes the product of two matrices; the function header should be "function C = myMatrixProd(A, B)", where A and B are your matrices inputs, and C is the result matrix. Your function should include the following: Using if construction to check the compatibility requirement (i.e. A's column number should equal to B's row number). If not satisfied, stop the function and return an error message "Error: matrix dimensions not compatible". If the compatibility requirement is satisfied, using for loops to compute the inner product of row i of A and column j of B; and assign the result to the element c_ij in C. you should NOT directly use A * B to do the multiplication. Further, test your function ''myMatrixProd.m" for the following two cases: A_1=[-3 1 0], B_1 = [0 1 2 4 -2 7], and A_2 = [-3 1 0 9 8 -6],B_2 = [0 1 9 2 4 2 -2 7 -1].

Explanation / Answer

function C =mymatrixprod(A,B)
[m1,n1]=size(A);
[m2,n2]=size(B);
if(n1~=m2)
    error('matrix dimensions are not compatible');

else
    C=zeros(m1,n2);
    for x=1:m1
        for y=1:n2
            sum=0;
            for z=1:n1
                sum=sum+A(x,z).*B(z,y);
            end
            C(x,y)=sum;
        end
    end
end        

%program

a=input('enter 1st matrix');
b=input('enter 2nd matrix');
product=mymatrixprod(a,b)

%result

>> m19
enter 1st matrix[-3 1 0]
enter 2nd matrix[0 1;2 4;-2 7]

product =

     2     1

>> m19
enter 1st matrix[-3 1 0;9 8 -6]
enter 2nd matrix[0 1 9;2 4 2;-2 7 -1]

product =

     2     1   -25
    28    -1   103

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