In P2, find the the standard basis C = {1,t,t²}. Then find the B-coordinate vector for 1 - 2t + 2t². change-of-coordinates matrix from the basis B = {1 - 2t + t²,4 − 7t + 5t²,3 − 4t + 6t²} to In P2, find the change-of-coordinates matrix from the basis B = {1-2t + t²,4 − 7t + 5t²,3 − 4t + 6t²} to = {1,t,t²}. the standard basis C = 1 4 3 -2 -7 -4 1 5 6 (Simplify your answer.) P = C B - 2t + 2t². Find the B-coordinate vector for 1-

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
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In P2,
the standard basis C = {1,t,t2}. Then find the B-coordinate vector for 1 - 2t + 2t².
find the change-of-coordinates matrix from the basis B =
{1 - 2t + t²,4 - 7t + 5t²,3 − 4t + 6t²} to
In P2, find the change-of-coordinates matrix from the basis B = {1-2t+t²,4-7t + 512²,3-4t+ 6t²} to
the standard basis C = = {1,t,t²}.
1 4 3
P = -2 -7 -4
C-B
1
5 6
(Simplify your answer.)
Find the B-coordinate vector for 1-2t+2t².
[X] B =
(Simplify your answer.)
Transcribed Image Text:In P2, the standard basis C = {1,t,t2}. Then find the B-coordinate vector for 1 - 2t + 2t². find the change-of-coordinates matrix from the basis B = {1 - 2t + t²,4 - 7t + 5t²,3 − 4t + 6t²} to In P2, find the change-of-coordinates matrix from the basis B = {1-2t+t²,4-7t + 512²,3-4t+ 6t²} to the standard basis C = = {1,t,t²}. 1 4 3 P = -2 -7 -4 C-B 1 5 6 (Simplify your answer.) Find the B-coordinate vector for 1-2t+2t². [X] B = (Simplify your answer.)
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