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 ···
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 ···
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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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
···](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c7c214b-cf84-4962-b081-ba741cf7bfca%2Fde1aa55b-72ca-4ae4-a7b2-28f02b1b3e0f%2Fm77rap8_processed.jpeg&w=3840&q=75)
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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