Consider the following. B = {(-1, 2), (-1, 1)}, B'= {(-12, 0), (-4, 4)}, [x]B = %3D (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]g. [x]B =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.7: Cooridinates And Change Of Basis
Problem 57E
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00
Consider the following.
B = {(-1, 2), (-1, 1)}, B' = {(-12, 0), (-4, 4)},
[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]B'.
[x]B
%3D
Transcribed Image Text:00 Consider the following. B = {(-1, 2), (-1, 1)}, B' = {(-12, 0), (-4, 4)}, [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]B'. [x]B %3D
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