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Chapter 2: Q39E (page 108)

If matrices A and B commute, then the formula A2B = BA2 must hold.

Short Answer

Expert verified

The statement is true.

Step by step solution

01

Explaining

The claim is that if A and B commute thenA2B=BA2 .First by definition if A and B commute this means that thus we will have:

A2B=AAB=ABA=ABA=BAA=BAA=BA2

02

Result

Thus the statement is true.

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