Question: Suppose that A is a 2 X 2 matrix with columns which are unit vectors. (a) Show that 1 g det(A) g 1. (b) Show

Suppose that A is a 2 X 2 matrix with columns

Suppose that A is a 2 X 2 matrix with columns which are unit vectors. (a) Show that 1 g det(A) g 1. (b) Show that for every a with 1 g a g 17 there exists a 2 X 2 matrix A with columns which are unit vectors, such that det(A) : a

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