{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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 2CM: In Exercises 1 and 2, determine whether the function is a linear transformation. T:M2,2R,...
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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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