Question: Let R and S' be matrix transformations Rn Rm induced by matrices A and B respectively. In each case, show that 7 is a

Let R and S' be matrix transformations Rn → Rm induced by matrices A and B respectively. In each case, show that 7 is a matrix transformation and describe its matrix in terms of A and B.
(a) T(X) = aR(X) for all X in Rn (where a is a fixed real number).

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