Question: Question 3. [8 marks] A matrix A is said to be orthogonal if AT = A-1. a) Show that the determinant of an orthogonal matrix

Question 3. [8 marks] A matrix A is said to be orthogonal if AT = A-1. a) Show that the determinant of an orthogonal matrix is #1. b) Determine the inverse of the following matrix (if it exist): c) Justify whether the matrix given above orthogonal

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