In P2, find the the standard basis C = {1,t,t²}. Then find the B-coordinate vector for − 4 + 10t − 5t². change-of-coordinates matrix from the basis B = {1 − 3t+t²,2 − 5t + 3t²,3t+ 4t²} to In P2, the standard basis C = find the change-of-coordinates matrix from the basis B = = {1 − 3t+ t²,2 − 5t + 3t²,3t+ 4t²} to = {1,t,t²}. P = C+B (Simplify your answer.) Find the B-coordinate vector for −4+ 10t-5t². [X]B (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 P2, find the change-of-coordinates matrix from the basis B = {1 − 3t + t²,2 − 5t + 3t²,3t + 4t²} to
the standard basis C = {1,t,t²}. Then find the B-coordinate vector for - 4 + 10t-5t².
In P2, find the change-of-coordinates matrix from the basis B = {1 - 3t + t²,2 − 5t + 3t²,3t + 4t²} to
= {1,t,t²}.
the standard basis C =
P =
C-B
(Simplify your answer.)
Find the B-coordinate vector for - 4 + 10t - 5t².
[X]B
(Simplify your answer.)
=
Transcribed Image Text:In P2, find the change-of-coordinates matrix from the basis B = {1 − 3t + t²,2 − 5t + 3t²,3t + 4t²} to the standard basis C = {1,t,t²}. Then find the B-coordinate vector for - 4 + 10t-5t². In P2, find the change-of-coordinates matrix from the basis B = {1 - 3t + t²,2 − 5t + 3t²,3t + 4t²} to = {1,t,t²}. the standard basis C = P = C-B (Simplify your answer.) Find the B-coordinate vector for - 4 + 10t - 5t². [X]B (Simplify your answer.) =
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