Question: Let TA : R - R be multiplication by an invertible matrix A. Suppose that B = {b1, b2, . .., b, } is a

Let TA : R" - R" be multiplication by an invertible matrix A. Suppose that B = {b1, b2, . .., b, } is a basis for R". Prove that T(B) = {T(b1 ), T(b2), ..., T(bn ) } is also a basis for RT

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