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Consider the following. B = {(4, 1, -2), (3, 1, -2), (-9, -3, 8)}, B'= {(2, 1, 8), (1, 1, 8), (1, 1, 12)}, 2 [x] B = 3 (a) Find the transition matrix from B to B'. p-1 = 000 (b) Find the transition matrix from B' to B. P = 11 11 11 (c) Verify that the two transition matrices are inverses of each other.

Consider the following. B = {(4, 1, -2), (3, 1, -2), (-9, -3, 8)}, B'= {(2, 1, 8), (1, 1, 8), (1, 1, 12)}, 2 [x] B = 3 (a) Find the transition matrix from B to B'. p-1 = 000 (b) Find the transition matrix from B' to B. P = 11 11 11 (c) Verify that the two transition matrices are inverses of each other.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 13CM
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Part D asks fir thr coordiante matrix it [x]B, giventhe coordinate matrix [x]B'

Consider the following. B = {(4, 1, -2), (3, 1, -2), (-9, -3, 8)}, B' = {(2, 1, 8), (1, 1, 8), (1, 1, 12)}, 2 [x]B = 3 (a) Find the transition matrix from B to B'. p-1 = (b) Find the transition matrix from B' to B. P = 11 (c) Verify that the two transition matrices are inverses of each other.
Transcribed Image Text:Consider the following. B = {(4, 1, -2), (3, 1, -2), (-9, -3, 8)}, B' = {(2, 1, 8), (1, 1, 8), (1, 1, 12)}, 2 [x]B = 3 (a) Find the transition matrix from B to B'. p-1 = (b) Find the transition matrix from B' to B. P = 11 (c) Verify that the two transition matrices are inverses of each other.
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