In P2, find the change-of-coordinates matrix from the basis B= {1 − 2t + 1²,3 −5t + 4t²,2 − 2t + 5t²) to the standard basis C= {1,1,1²). Then find the B-coordinate vector for - 1 + 2t. In P₂, find the change-of-coordinates matrix from the basis B = ={1,1,1²}. basis C= P = C+B (Simplify your answers.) Find the B-coordinate vector for [x] = -1+2t .... (Simplify your answers.) · {1 − 2t + t²,3 − 5t + 41²,2 − 2t + 5t²} to the standard

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 29E
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In P2, find the change-of-coordinates matrix from the basis B = {1-2t+1²,3-5t + 41²,2 − 2t + 5t²} to the standard
basis C= ={1,1,1²). Then find the B-coordinate vector for −1 + 2t.
In P₂, find the change-of-coordinates matrix from the basis B =
={1,1,1²}.
basis C=
P =
C+B
(Simplify your answers.)
Find the B-coordinate vector for
[x] =
-1+2t
....
(Simplify your answers.)
· {1 − 2t + t²,3 − 5t + 41²,2 − 2t + 5t²} to the standard
Transcribed Image Text:In P2, find the change-of-coordinates matrix from the basis B = {1-2t+1²,3-5t + 41²,2 − 2t + 5t²} to the standard basis C= ={1,1,1²). Then find the B-coordinate vector for −1 + 2t. In P₂, find the change-of-coordinates matrix from the basis B = ={1,1,1²}. basis C= P = C+B (Simplify your answers.) Find the B-coordinate vector for [x] = -1+2t .... (Simplify your answers.) · {1 − 2t + t²,3 − 5t + 41²,2 − 2t + 5t²} to the standard
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