27. In the vector space P. (set of all polynomials of degree < 2) the argument needed to deter- mine if the vector v = -t+ 2t 1 belongs to the span of {3t? –t+1, 5t – 3, 2t? +t + 1} yields the following augmented matrix: 20 10 -3 10 0 2-1 5 1 2 -3 1-1 3 3 -1 1|- 3 (A) -1 5 (B) |0 5 -3 2 (С) | -1 1 2 1 1 3 1 3 -1 1 (D) -1 1-2 -3 1 1 (E) 0 2 1 -3 0 10
27. In the vector space P. (set of all polynomials of degree < 2) the argument needed to deter- mine if the vector v = -t+ 2t 1 belongs to the span of {3t? –t+1, 5t – 3, 2t? +t + 1} yields the following augmented matrix: 20 10 -3 10 0 2-1 5 1 2 -3 1-1 3 3 -1 1|- 3 (A) -1 5 (B) |0 5 -3 2 (С) | -1 1 2 1 1 3 1 3 -1 1 (D) -1 1-2 -3 1 1 (E) 0 2 1 -3 0 10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:27. In the vector space P, (set of all polynomials of degree < 2) the argument needed to deter-
mine if the vector v = -t +2t - 1 belongs to the span of
{3t – t+ 1, 5t – 3, 2t + t+1} yields the following augmented matrix:
2 0
10
-3 10
3 -1
(B) 0
3
3
|
(A)
-1
-3
2
(C) -1
1
2
1
1
-1
1
-3 1-1
3 -1
(E) (0
3
1
(D) -1
1
-2
-3 0
1
-3 1
2
1
1
2.
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