Compute the following using Mathematica Write a function g[A_,B_] that takes as

Question

Compute the following using Mathematica

Write a function g[A_,B_] that takes as input two matrices A and B (not necessarily square) and checks whether the number of columns of A is the same as the number of rows of B. If the dimensions match, then the function returns the product AB, otherwise it returns the message "Error, the matrices cannot be multiplied". Test your function on a couple of matrices.

Generate a square nxn matrix M, whose diagonal elements Subscript[M, ii]are equal to n-1 and the other elements Subscript[M, ij] i!=j are equal to 1. Test it for n=10.

Explanation / Answer

function [product] = g(A_,B_)

[row1 col1] = size(A_);

[row2 col2] = size(B_);

if col1 == row2

product = A_*B_;

else

product = 'Error, the matrices cannot be multiplied';

end

end

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