If A and B be two square matrices, then:(a) AB = BA(b) (AB)−1 = A−1 B−1(c) (AB)T = BTAT(d) none of these

Question

If A and B be two square matrices, then:(a) AB = BA(b) (AB)−1 = A−1 B−1(c) (AB)T = BTAT(d) none of these
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Solution 1

(a) AB = BA: This statement is not always true. In general, matrix multiplication is not commutative, meaning that the order in which matrices are multiplied can affect the result. So, AB is not necessarily equal to BA.

(b) (AB)−1 = A−1 B−1: This statement is also not true. The correct relation is Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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