Let T : P2 → P2 be the linear transformation such that T(1) = 4+ 2x + x², T(x) = 3x, T(x²) = 1+2x + 4x? 1. Is A diagonalizable? If so, find an invertible matrix P such that P-'AP = D 2. Find the eigenvalues and corresponding eigenspaces of T.
Let T : P2 → P2 be the linear transformation such that T(1) = 4+ 2x + x², T(x) = 3x, T(x²) = 1+2x + 4x? 1. Is A diagonalizable? If so, find an invertible matrix P such that P-'AP = D 2. Find the eigenvalues and corresponding eigenspaces of T.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 16CR
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