T: P2 P2, T(ax2 + bx + c) = ax² + bx + c B = {1, 1 – x, (1 – x)²} B' = {1, x, x²} %3D - 6. v = x² – 3x + 3
T: P2 P2, T(ax2 + bx + c) = ax² + bx + c B = {1, 1 – x, (1 – x)²} B' = {1, x, x²} %3D - 6. 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
Problem 1RQ
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Question
T: V ---> V is a linear operator with a B and B' ordered bases for V
a. Find the matrix representation for T relative to the ordered bases B and B'
b. Find T(v), using a direct computation and using the matrix representation
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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