Question: True or false: (a) If Q is an improper 2 2 orthogonal matrix, then Q2 = I. (b) If Q is an improper 3

True or false:
(a) If Q is an improper 2 × 2 orthogonal matrix, then Q2 = I.
(b) If Q is an improper 3 × 3 orthogonal matrix, then Q2 = I.

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