Consider the linear transformation T: R^ →R" whose matrix A relative to the standard basis is given.[³A =(a) Find the eigenvalues of A. (Enter your answers from smallest to largest.)(1₁, 12) = 4,5B₂3-2(b) Find a basis for each of the corresponding eigenspaces.B₁ = 1,21281,1=A' =1 6(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).X5512↓ 1

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Consider the linear transformation T: RR whose matrix A relative to the standard basis is given. A-[3] A= (a) Find the eigenvalues of A. (Enter your answers from smallest to largest.) (A₁, A₂) 4,5 (4,5 (b) Find a basis for each of the corresponding eigenspaces. B₁ 1,2 B₂- (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'= X 5 1,1 5 1 2 1

Consider the linear transformation T: RR whose matrix A relative to the standard basis is given. A-[3] A= (a) Find the eigenvalues of A. (Enter your answers from smallest to largest.) (A₁, A₂) 4,5 (4,5 (b) Find a basis for each of the corresponding eigenspaces. B₁ 1,2 B₂- (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'= X 5 1,1 5 1 2 1

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.4: The Singular Value Decomposition

Problem 26EQ

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