A matrix A has been factored into the form PDP-¹. -4 -16 -32] 16 36 64 -16 -28 -8 -2 4 4 0 -4 0 0 -10 36 2 4 -1 0 04 0 40 a. State the smallest eigenvalue of A and a basis for its eigenspace. λ = Question Help: Message instructor Basis for eigenspace: { } (Note: Use only as many vectors as you need, from left to right.) b. State the largest eigenvalue of A and a basis for its eigenspace. λ = Basis for eigenspace: { } (Note: Use only as many vectors as you need, from left to right. ) 1711 1 77 77

A matrix A has been factored into the form PDP-¹. -4 -16 -32] 16 36 64 -16 -28 -8 -2 4 4 0 -4 0 0 -10 36 2 4 -1 0 04 0 40 a. State the smallest eigenvalue of A and a basis for its eigenspace. λ = Question Help: Message instructor Basis for eigenspace: { } (Note: Use only as many vectors as you need, from left to right.) b. State the largest eigenvalue of A and a basis for its eigenspace. λ = Basis for eigenspace: { } (Note: Use only as many vectors as you need, from left to right. ) 1711 1 77 77

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices

Problem 41EQ

See similar textbooks