Question: (6 marks) (a) (3 marks) Recall that a square matrix A is orthogonal if A'1 = AT. Prove that the determinant of an orthogonal matrix

(6 marks) (a) (3 marks) Recall that a square matrix A is orthogonal if A'1 = AT. Prove that the determinant of an orthogonal matrix is either 1 or 1' (b) (3 marks) Find two 3 X 3 orthogonal matrices with determinants 1 and 1, respectively. Hint: If you switch two rows/columns or multiply a row/column by 1 in an orthogonal matrix, the new matrix is still orthogonal. A v Check

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