Question: Explain what can be said about det A if: (a) A2 = I (b) PA = P and P is invertible (c) A = -AT

Explain what can be said about det A if:
(a) A2 = I
(b) PA = P and P is invertible
(c) A = -AT and A is n × n

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a If A 2 I then detA 2 det I 1 that is detA 2 1 Hence detA 1 or detA 1 b If PA P P invertib... View full answer

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