Consider the linear transformation T: R→ Rn whose matrix A relative to the standard basis is given.A-[2-13]=(a) Find the eigenvalues of A. (Enter your answers from smallest to largest.)(λ1, 1₂) =])(b) Find a basis for each of the corresponding eigenspaces.B1 =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' =

sider the lihear transformation T: R"→R" whose matrix A relative to the standard basis is given. A-[2-3] = 6 (a) Find the eigenvalues of A. (Enter your answers from smallest to largest.) (21, ^₂) = (b) Find a basis for each of the corresponding eigenspaces. B1 = 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). 188: A' =

sider the lihear transformation T: R"→R" whose matrix A relative to the standard basis is given. A-[2-3] = 6 (a) Find the eigenvalues of A. (Enter your answers from smallest to largest.) (21, ^₂) = (b) Find a basis for each of the corresponding eigenspaces. B1 = 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). 188: A' =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 11AEXP

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