Question: 2. An invertible n X n matrix A is called orthogonal if AT 2 A'l. (a) If A is orthogonal, what are the only possible

2. An invertible n X n matrix A is called orthogonal if AT 2 A'l. (a) If A is orthogonal, what are the only possible values for det A? (b) For each value given in part a, give an example of an orthogonal 2 X 2 matrix with that determinant. Show that your examples are orthogonal

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