Write the vector v = :8 + 3t+t² as a coordinate vector with respect to the basis B. NOTE: Each set B is linearly independent and therefore a basis for its span, and v is in span. a. B = {−1 − 5t + 4t², 4+t+9t²,8 + 3t+t²} X
Write the vector v = :8 + 3t+t² as a coordinate vector with respect to the basis B. NOTE: Each set B is linearly independent and therefore a basis for its span, and v is in span. a. B = {−1 − 5t + 4t², 4+t+9t²,8 + 3t+t²} X
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 22EQ
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Answer Question A:
![Write the vector v = 8 + 3t + t² as a coordinate vector with respect to the basis B.
NOTE: Each set B is linearly independent and therefore a basis for its span, and v is in spanB.
a. B = {−1 − 5t + 4t², 4 + t +9t², 8 + 3t+t²}
b. B = {8, 3t, 1t²}
c. B = {1, t, t²}
d. B = {t²,t,1}
e. B = {8 + 3t, t²}
f. B = {1, t, t², t³}
³]
3
[[H]
1
1
∞ ∞
O
X
8
1
1
1
1
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa35463d6-bfa8-46b5-8d12-2e8ead64b10c%2F28b0747e-2977-46f5-b207-e2df53f4933a%2Ff27dr1d_processed.png&w=3840&q=75)
Transcribed Image Text:Write the vector v = 8 + 3t + t² as a coordinate vector with respect to the basis B.
NOTE: Each set B is linearly independent and therefore a basis for its span, and v is in spanB.
a. B = {−1 − 5t + 4t², 4 + t +9t², 8 + 3t+t²}
b. B = {8, 3t, 1t²}
c. B = {1, t, t²}
d. B = {t²,t,1}
e. B = {8 + 3t, t²}
f. B = {1, t, t², t³}
³]
3
[[H]
1
1
∞ ∞
O
X
8
1
1
1
1
X
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