In P2, find the change-of-coordinates matrix from the basis B=(1-3t+12,2-5t+31²,3t+41²) to the standard basis C= {1,t,t2). Then find the B-coordinate vector for - 2 + 7t. In P2, find the change-of-coordinates matrix from the basis B = {1-3t+1²,2-5t+31²,3t+412) to the standard basis C= {1,t,t²). P = C-B Find the B-coordinate vector for 2+7t [x] B = ☐☐☐ (Simplify your answers.) (Simplify your answers.) CS Scanned with CamScanner ···

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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In P2, find the change-of-coordinates matrix from the basis B=(1-3t+t2²,2-5t + 31²,3t+41²) to the standard basis C= {1,t,t2). Then find the B-coordinate vector for - 2 + 7t.
In P₂, find the change-of-coordinates matrix from the basis B = {1-3t+1²,2-5t+31²,3t+412) to the standard basis C= {1,t,t²).
P =
C+B
Find the B-coordinate vector for 2+7t
[x] B =
☐☐☐
(Simplify your answers.)
(Simplify your answers.)
CS Scanned with CamScanner
···
Transcribed Image Text:In P2, find the change-of-coordinates matrix from the basis B=(1-3t+t2²,2-5t + 31²,3t+41²) to the standard basis C= {1,t,t2). Then find the B-coordinate vector for - 2 + 7t. In P₂, find the change-of-coordinates matrix from the basis B = {1-3t+1²,2-5t+31²,3t+412) to the standard basis C= {1,t,t²). P = C+B Find the B-coordinate vector for 2+7t [x] B = ☐☐☐ (Simplify your answers.) (Simplify your answers.) CS Scanned with CamScanner ···
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