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 L(v) = 0 then 7 = 0. (b) Let {vi, U2, U3} be a linearly independent set of vectors in R3. Show that { L(uj), L(U2), L(v3) } is also a linearly independent set

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