A matrix A is said to be a normal matrix if A*AT = AT*A where ATis the transpose

Question

A matrix A is said to be a normal matrix if

A*AT = AT*A

where ATis the transpose of A.

Write a Matlab function called isnormal.m which takes as input a matrix A, and outputs the word

normal

if A is a normal matrix, and the phrase

not normal

if A is not a normal matrix. Furthermore, write a Matlab program called main.m which calls this function to check if the following matrices are normal:

Explanation / Answer

a) for file isnormal.m--> function y = isnormal(x) A = x*transpose(x); B = transpose(x)*x; if A==B 'normal' else 'not normal' end b) matrices are not given in question.

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