Question: A matrix with m rows and n columns is said to be of type m n. Give simple examples of matrices A and B

A matrix with m rows and n columns is said to be of type m × n. Give simple examples of matrices A and B to illustrate the following situations:

(a) AB is defined but BA is not;

(b) AB and BA are both defined but have different type;

(c) AB and BA are both defined and have the same type but are unequal.

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