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{1,t, t²}. Ts= TB = 1 0 0 -1 -1 -1 1 2 4 TB = 100 111 24 0 14 0 -1 1 2 1 [1 -1 1 0-12 0-1 4

{1,t, t²}. Ts= TB = 1 0 0 -1 -1 -1 1 2 4 TB = 100 111 24 0 14 0 -1 1 2 1 [1 -1 1 0-12 0-1 4

Advanced Engineering Mathematics
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
Define T: P₂ → P₂ by T(p) = p(0) - P(1) B = {1,t, t²}. O TB = TB = TB = 1 0 0 100 111 1 2 4 4 2 0 0 1 -1 -1 2 1 [1 -1 1 0-12 0-14 p(2)2 to be a linear transformation. Find the B-matrix for T, where 4
Transcribed Image Text:Define T: P₂ → P₂ by T(p) = p(0) - P(1) B = {1,t, t²}. O TB = TB = TB = 1 0 0 100 111 1 2 4 4 2 0 0 1 -1 -1 2 1 [1 -1 1 0-12 0-14 p(2)2 to be a linear transformation. Find the B-matrix for T, where 4
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