Question: 5. [8 marks] Let L : R3 > R3 be an invertible linear transformation. Let A be the matrix of the linear transformation for L.

5. [8 marks] Let L : R3 > R3 be an invertible linear transformation. Let A be the matrix of the linear transformation for L. (a) Show that if LO?) = [-1. then 13' = G. ([3) Let {0'}, 13;, v3} be a linearlyr independent set of vectors in R3. Show that {LOU} ), L05), L()} is also a linearly independent set

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