Question: Let P be an orthogonal matrix. (a) Give 2 2 examples of P such that det P = 1 and det P = -1.

Let P be an orthogonal matrix.
(a) Give 2 × 2 examples of P such that det P = 1 and det P = -1.
(b) If P is n × n and det P ≠ (-1)n, show that I - P has no inverse.

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