, find the change-of-coordinates matrix from the basis B= {1– 2t +t?,3 - 5t + 41,2- 2t + 5t?} to the standard basis C = :{1,t,t}. Then find the B-coordinate vector – 2t + 212. , find the change-of-coordinates matrix from the basis B = {1- 2t +t?,3 - 5t + 41,2- 2t + 5t?} to the standard basis C = {1,t,t?}. 1 3 2 %3D -2 -5 - 2 1 4 plify your answer.) the B-coordinate vector for 1- 2t + 2t2. olify your answer.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 63EQ
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In P2, find the change-of-coordinates matrix from the basis B = (1- 2t +t,3 - 5t + 4t,2- 2t + 5t} to the standard basis C = {1,t,t}. Then find the B-coordinate vector
for 1-2t +21?.
In P2, find the change-of-coordinates matrix from the basis B = {1- 2t + t,3 - 5t + 4t,2 - 2t + 5t} to the standard basis C =
1
- 2
- 5
2
C-B
1
4
5
(Simplify your answer.)
Find the B-coordinate vector for 1- 2t + 2t.
[x]B
(Simplify your answer.)
Transcribed Image Text:In P2, find the change-of-coordinates matrix from the basis B = (1- 2t +t,3 - 5t + 4t,2- 2t + 5t} to the standard basis C = {1,t,t}. Then find the B-coordinate vector for 1-2t +21?. In P2, find the change-of-coordinates matrix from the basis B = {1- 2t + t,3 - 5t + 4t,2 - 2t + 5t} to the standard basis C = 1 - 2 - 5 2 C-B 1 4 5 (Simplify your answer.) Find the B-coordinate vector for 1- 2t + 2t. [x]B (Simplify your answer.)
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