Matrix Product Function with dot product

I'm trying to write a function that multiplies matrices from inner products this is what i have right now. I would like to know if its correct or wrong. any advice would help, thank you!

function [C] =MatrixProduct(A,B)
% This is a program designed to multiply two matrices together by using the inner product.
% Call syntax:  MatrixProduct(A,B)
% Input:  an mxp matrix A and an pxn matrix B
% Output:  the product AB which is an mxn matrix C
m= size(A,1);  % gets the row size of matrix A
p= size(A,2);  % gets the column size of matrix A
n= size(B,2);  % gets the column size of matrix B
f= size(B,1);   % gets the row size of matrix B
if f==p
C=zeros(m,n);  % initializes the variable C
for i=1:m
  for j=1:n
      C(i,j)=C(i,j) + A(i,:) * B(:,j);    % updates C
  end  % ends loop
end  % ends loop

ans = C  % prints the final answer C
else
  error('The dimensions of the matrices must agree.')
end

Answer 1

[Matt J]

My advice would be to test it by comparing the result with MATLAB's built-in matrix multiplication A*B