Solved: Let L: V ..... V be a linear transfonnation represented by a matrix A with

Chapter 6, Problem 23

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Let L: V ..... V be a linear transfonnation represented by a matrix A with respect to an ordered basis S for V. Show that A 2 represents L 2 = L 0 L with respect to S. _\1oreover. show that if k is a positive integer. then A' represents L l = L 0 L o . 0 L (k times) with respect to S.

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