4. Let FR"R" and be a linear transformation. Suppose the matrix representation of F with respect to the standard basis B = {e₁, en CR is an nxn matrix A. Show that the following linear transformation F(3) RR", F3) (v):= F(F(F(v))) has matrix representation with respect to the basis B given by the matrix A³. Justify your answer.
4. Let FR"R" and be a linear transformation. Suppose the matrix representation of F with respect to the standard basis B = {e₁, en CR is an nxn matrix A. Show that the following linear transformation F(3) RR", F3) (v):= F(F(F(v))) has matrix representation with respect to the basis B given by the matrix A³. Justify your answer.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 55EQ
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