Question: Let L: V V be a linear transformation represented by a matrix A with respect to an ordered basis S for V. Show that

Let L: V → V be a linear transformation represented by a matrix A with respect to an ordered basis S for V. Show that A2 represents L2 = L o L with respect to 5. Moreover, show that if k is a positive integer, then Ak represents Lk = L o L o . . . o L(k times) with respect to S.

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