In the vector space P2, of polynomials of degree atmost two, the third column of the matrix of transition from the basis A = {4₁=1; a=x; a=x²) to the basis B={c₁=2=x; €₂=1+x+6x²,₁ €₂=1+x=2x²} is: OA-1 OB/ 1 ger OD 1 1

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 P2¹
of polynomials of degree atmost two, the third column of the matrix of transition from the basis A = {a₁ = 1; ₁= x; a=x²} to the basis B = {e₁=2−x; e ₂ = ¹ + x + 6x²₁ e ₂=1+x− 2x²} is:
(:)
0
O A./
O B. (2
1
1
O D.
0
-2
19
Transcribed Image Text:In the vector space P2¹ of polynomials of degree atmost two, the third column of the matrix of transition from the basis A = {a₁ = 1; ₁= x; a=x²} to the basis B = {e₁=2−x; e ₂ = ¹ + x + 6x²₁ e ₂=1+x− 2x²} is: (:) 0 O A./ O B. (2 1 1 O D. 0 -2 19
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