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If A = A T and B = B T , which of these matrices are certainly symmetric? (a) A 2 B 2

Chapter 1, Problem 1.6.56

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QUESTION:

If A = A T and B = B T , which of these matrices are certainly symmetric? (a) A 2 B 2 (b) (A+B)(AB) (c) ABA (d) ABAB.

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QUESTION:

If A = A T and B = B T , which of these matrices are certainly symmetric? (a) A 2 B 2 (b) (A+B)(AB) (c) ABA (d) ABAB.

ANSWER:

Step 1 of 4

Given that  and

We have to verify, whetheris symmetry or not

Now

         

Therefore, is symmetry

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