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Consider the following. B = {(1, 2, 16), (-1, 1, 8), (-3, 3, 28)}, B' = {(10, 3, 6), (3, 1, 2), (6, 2, 5)}, [] (a) Find the transition matrix from B to B'. [x] B p-1 = ↓1 (b) Find the transition matrix from B' to B.

Consider the following. B = {(1, 2, 16), (-1, 1, 8), (-3, 3, 28)}, B' = {(10, 3, 6), (3, 1, 2), (6, 2, 5)}, [] (a) Find the transition matrix from B to B'. [x] B p-1 = ↓1 (b) Find the transition matrix from B' to B.

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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Consider the following. B = {(1, 2, 16), (-1, 1, 8), (-3, 3, 28)), B' = {(10, 3, 6), (3, 1, 2), (6, 2, 5)}, B 2 (a) Find the transition matrix from B to B'. [x] = 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 = ↓↑ [x]B ↓↑ ↑ (d) Find the coordinate matrix [x]B, given the coordinate matrix [x]g'.
Transcribed Image Text:Consider the following. B = {(1, 2, 16), (-1, 1, 8), (-3, 3, 28)), B' = {(10, 3, 6), (3, 1, 2), (6, 2, 5)}, B 2 (a) Find the transition matrix from B to B'. [x] = 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 = ↓↑ [x]B ↓↑ ↑ (d) Find the coordinate matrix [x]B, given the coordinate matrix [x]g'.
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