Let B = {(0, 1, 1), (1, 1, 0), (1, 0, 1)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for R, and let 1 -1 2 1 A = 3 1 be the matrix for T: R3 R3 relative to B. (a) Find the transition matrix P from B' to B. P = (b) Use the matrices P and A to find [v], and [T(v)]R, where [v]g = [1 0 -1]7. [v]g = [T(v)]g = (c) Find P-1 and A' (the matrix for T relative to B'). p-1 = A' = 2.

Let B = {(0, 1, 1), (1, 1, 0), (1, 0, 1)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for R, and let 1 -1 2 1 A = 3 1 be the matrix for T: R3 R3 relative to B. (a) Find the transition matrix P from B' to B. P = (b) Use the matrices P and A to find [v], and [T(v)]R, where [v]g = [1 0 -1]7. [v]g = [T(v)]g = (c) Find P-1 and A' (the matrix for T relative to B'). p-1 = A' = 2.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.4: Transistion Matrices And Similarity

Problem 15E

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