B = {3 – 3x, 9 – 2x – 9x², 13 – 4x – 12x?} is a basis for P2. The coordinate vector of p(x) = 4 + 2x – 6x² relative to the basis B is [p]B =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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B = {3 – 3x², 9 – 2x – 9x², 13 – 4x – 12x?}
is a basis for P2. The coordinate vector of p(x) = 4 + 2x – 6x² relative to the basis B is
[p]B =
Transcribed Image Text:B = {3 – 3x², 9 – 2x – 9x², 13 – 4x – 12x?} is a basis for P2. The coordinate vector of p(x) = 4 + 2x – 6x² relative to the basis B is [p]B =
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