Question: I need help for this question please. [10pts] Let 7 : R3 -> R3 be the linear transformation given by T 2x1 + 3.12 +

I need help for this question please.

[10pts] Let 7 : R3 -> R3 be the linear transformation given by T 2x1 + 3.12 + 23 = 31 + 32 + 23 201 + 4.2 + 13 answer each question: (a) Find the standard matrix A for T. (b) Show, using A, that T is an isomorphism. (c) What is the standard matrix for T-1. (d) Justify the statement: S = To T is defined and is an isomorphism. (e) Explain how to get the standard matrix for S from A (a formula will suffice). (f) Explain how to get the standard matrix for S- from A

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