B - {(-1, 4, 1), (-2, 4, 1), (–2, 4, 2)}, B' =- {(10, 3, –3), (3, 1, –1), (6, 2, –1)}, [x]g = (a) Find the transition matrix from B to B'. (b) Find the transition matrix from B' to B. P-

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
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Consider the following.
B = {(-1, 4, 1), (-2, 4, 1), (-2, 4, 2)}, B' = {(10, 3, -3), (3, 1, -1), (6, 2, -1)},
[x]B' =
(a) Find the transition matrix from B to B',
p-1-
(b) Find the transition matrix from B' to B.
P=
(c) Verify that the two transition matrices are inverses of each other.
pp-1.
(d) Find the coordinate matrix [x]B, given the coordinate matrix [x]8.
[x]B =
Transcribed Image Text:Consider the following. B = {(-1, 4, 1), (-2, 4, 1), (-2, 4, 2)}, B' = {(10, 3, -3), (3, 1, -1), (6, 2, -1)}, [x]B' = (a) Find the transition matrix from B to B', p-1- (b) Find the transition matrix from B' to B. P= (c) Verify that the two transition matrices are inverses of each other. pp-1. (d) Find the coordinate matrix [x]B, given the coordinate matrix [x]8. [x]B =
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