Question: Let A and B be n ( n orthogonal matrices. (a)Prove that A (AT + BT)B = A + B. (b)Use part (a) to prove

Let A and B be n ( n orthogonal matrices.
(a)Prove that A (AT + BT)B = A + B.
(b)Use part (a) to prove that, if det A + det B = 0, then A + B is not invertible.

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a Since A and B are orthogonal matrices we know that A T A 1 and B T B 1 so that A A T B T B A A 1 ... View full answer

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