Identify the eigenvalues for the linear transformation T: P, → P, given by T(ax? + bx + c) = ax² + (-a – 2b + c)x + (-2b + c).

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 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Identify the eigenvalues for the linear transformation T: P, → P, given by
T(ax? + bx + c) = ax? + (-a – 2b + c)x +(- 2b + c).
Оа.2 %3D 1, — 1, — 1
O b. 1 = 0, – 1, – 1
Oc. À = 0, 1, 1
O d. 2 = 0, 1, - 1
Transcribed Image Text:Identify the eigenvalues for the linear transformation T: P, → P, given by T(ax? + bx + c) = ax? + (-a – 2b + c)x +(- 2b + c). Оа.2 %3D 1, — 1, — 1 O b. 1 = 0, – 1, – 1 Oc. À = 0, 1, 1 O d. 2 = 0, 1, - 1
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