3. T: P, P, is defined by T(a, + a,x) = -a, + (a, + a,) B is the standard basis for P1, and B' = {q1,q2}, where q, = x+ 1, q2 = x - 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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13. T: P → P, is defined by
T(a, + a,x) = –a, + (a + a,)x
B is the standard basis for P1, and B' = {q1, q2}, where
q, = x + 1, q = x – 1
Transcribed Image Text:13. T: P → P, is defined by T(a, + a,x) = –a, + (a + a,)x B is the standard basis for P1, and B' = {q1, q2}, where q, = x + 1, q = x – 1
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