In P2, find the change-of-coordinates matrix from the basis B= {1– 2t + t?,4 - 7t + 5,2 - 2t + 5t?} to the standard basis C = {1,tr?}. Then find the B-coordinate vector for -2+ 4t -t?. ..... In P, find the change-of-coordinates matrix from the basis B= {1- 2t +t² ,4 – 7t + 5,2- 2t + 5t?} to the standard basis C= {1.t1?}. P = C-B (Simplify your answer.) Find the B-coordinate vector for - 2+ 4t – t. [x]g =| (Simplify your answer.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In P,, find the change-of-coordinates matrix from the basis B= {1-2t+?,4 - 7t + 5t,2- 2t + 5t?} to the standard basis C= {1,tt}. Then find the
B-coordinate vector for - 2+ 4t - t?.
.....
In P2, find the change-of-coordinates matrix from the basis B=
{1- 2t +r?,4 - 7t + 5t?,2- 21 + 5t²} to the standard basis C = {1,t?}.
C-B
(Simplify your answer.)
Find the B-coordinate vector for - 2 + 4t -ť.
[x]
(Simplify your answer.)
Transcribed Image Text:In P,, find the change-of-coordinates matrix from the basis B= {1-2t+?,4 - 7t + 5t,2- 2t + 5t?} to the standard basis C= {1,tt}. Then find the B-coordinate vector for - 2+ 4t - t?. ..... In P2, find the change-of-coordinates matrix from the basis B= {1- 2t +r?,4 - 7t + 5t?,2- 21 + 5t²} to the standard basis C = {1,t?}. C-B (Simplify your answer.) Find the B-coordinate vector for - 2 + 4t -ť. [x] (Simplify your answer.)
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