Consider the linear transformation T: RR whose matrix A relative to the standard basis is given. 3 -1 A = 2 (a) Find the eigenvalues of A. (Enter your answers from smallest to largest.) (21, 22) = 4,5 (b) Find a basis for each of the corresponding eigenspaces. B₁ = -{(1,-1) B2 {(1,2) (c) Find the matrix A' for T relative to the basis B', where B' is made up of the basis vectors found in part (b). A' =
Consider the linear transformation T: RR whose matrix A relative to the standard basis is given. 3 -1 A = 2 (a) Find the eigenvalues of A. (Enter your answers from smallest to largest.) (21, 22) = 4,5 (b) Find a basis for each of the corresponding eigenspaces. B₁ = -{(1,-1) B2 {(1,2) (c) Find the matrix A' for T relative to the basis B', where B' is made up of the basis vectors found in part (b). A' =
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 38EQ
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