Suppose that Ais the matrix of linear transformation T : V V with respect to basis G for
Chapter 9, Problem 51(choose chapter or problem)
Suppose that Ais the matrix of linear transformation T : V V with respect to basis G for both the domain and codomain. LetT2(v) = T T(v) = T(T(v)) denote the composition of T withitself.(a) Show that A2 is the matrix of the linear transformationT2 : V V with respect to basis G for both the domain andcodomain.(b) If Tn denotes the n-fold composition of T with itself, thenshow that An is the matrix of the linear transformation Tn : V V with respect to basis G for both the domain and codomain.
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