Question: 2. Let A be a 3 x 3 matrix with the property that det(A 9:13) = (:1: a)(a: b)(:1: c) where a, b, c e

2. Let A be a 3 x 3 matrix with the

2. Let A be a 3 x 3 matrix with the property that det(A 9:13) = (:1: a)(a: b)(:1: c) where a, b, c e R are constants and a: is a variable. Show that the transformation T given by x I> Ax is onetoone if and only if all of a, b, c are non-zero

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