Consider the following. B = {(-2, -12, −6), (1, 4, 2), (3, 12, 7)}, B' = {(−1, 1, 3), (−2, 1, 3), (−2, 1, 4)}, 1 2 [x] B' = = -1 (a) Find the transition matrix from B to B'. p-1 = P = (b) Find the transition matrix from B' to B. PP-1 -26, 9, 27 -16, 5, 14 (c) Verify that the two transition matrices are inverses of each other. -10, -29 [x] B = = (d) Find the coordinate matrix [x]B, given the coordinate matrix [X]ß'. 100: ↓ 1

Consider the following. B = {(-2, -12, −6), (1, 4, 2), (3, 12, 7)}, B' = {(−1, 1, 3), (−2, 1, 3), (−2, 1, 4)}, 1 2 [x] B' = = -1 (a) Find the transition matrix from B to B'. p-1 = P = (b) Find the transition matrix from B' to B. PP-1 -26, 9, 27 -16, 5, 14 (c) Verify that the two transition matrices are inverses of each other. -10, -29 [x] B = = (d) Find the coordinate matrix [x]B, given the coordinate matrix [X]ß'. 100: ↓ 1

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 13E

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