T: P2 P2, .2 T(ax2 + bx + c) = ax² + bx +c B = {1, 1 – x, (1 - x)²} B' = {1, x , x²} v = x² – 3x +3 -

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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Determine whether the linear transformation is onto

9. T: P2 P2,
T(ax2 + bx + c) = ax+ bx +c
B = {1, 1 – x, (1 – x)²}
%3D
B' = {1, x, x²}
v = x² – 3x + 3
-
Transcribed Image Text:9. T: P2 P2, T(ax2 + bx + c) = ax+ bx +c B = {1, 1 – x, (1 – x)²} %3D B' = {1, x, x²} v = x² – 3x + 3 -
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