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 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} 18 H e. B = {8 + 3t, t²} f. B = {1, t, t², t³} [1] 1 X ४

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer question F:

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}
8
∞ ∞
1
(13)
8
H
481
OT
X
A
४
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} 8 ∞ ∞ 1 (13) 8 H 481 OT X A ४
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