2' In the vector space P of polynomials of degree atmost two, the first column of the matrix of transition from the basis B={e₁=1+x;e₂=x+x²;e₂=3+x²} to the basis A = {r=1- 3x; s=x; t=x²} is: A. 1 B. - 2 O* :) 4) (9) - 1 1 D. 09 (8)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In the vector space P of polynomials of
2'
degree atmost two, the first column of the
matrix of transition from the basis
B=(e₁=1+x;e₂=x+x²e₂=3+x²) to
basis A={r= 1− 3x; s=x; t=x²} is:
A. 1
O*:)
B.
-2
*(-9
- 1
1
06 (8)
D.
0° (:)
Transcribed Image Text:In the vector space P of polynomials of 2' degree atmost two, the first column of the matrix of transition from the basis B=(e₁=1+x;e₂=x+x²e₂=3+x²) to basis A={r= 1− 3x; s=x; t=x²} is: A. 1 O*:) B. -2 *(-9 - 1 1 06 (8) D. 0° (:)
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