Let B the the standard ordered basis on M2x2 (R), let y = {1, x}, and let T : M2x2 (R) → P1 (R) be the linear transformation such that 1 2 1 -4 :) -1 [T]; 3 Given that 2 1 T -1 -1 1 = a + bx, find the value of the number a.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Hi, I need help with this Linear Algebra exercise, please. Thank you!

Let B the the standard ordered basis on M2x2 (R), let
y = {1, x}, and let T : M2x2 (R) → P1 (R) be the
linear transformation such that
1 2
1 -4
:)
-1
[T];
3
Given that
2
1
T
-1 -1
1
= a + bx,
find the value of the number a.
Transcribed Image Text:Let B the the standard ordered basis on M2x2 (R), let y = {1, x}, and let T : M2x2 (R) → P1 (R) be the linear transformation such that 1 2 1 -4 :) -1 [T]; 3 Given that 2 1 T -1 -1 1 = a + bx, find the value of the number a.
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