CORRECT ANSWER ONLY PLEASE HELP Verify that λ; is an eigenvalue of A and that x; is a corresponding eigenvector.A₁ = 8, x₁ = (1, 0, 0)1₂= 6, x₂ = (1, 2, 0)13 = 7, x3 = (-2, 1, 1)Ax₁ =81 3-630-107Ax2 =A =8 -1 30 6 1007Ax381 30 6 107081 36 11072 =0↓ 1= 81 =4E+1HOO= 2₁*1= 6 =1₂*₂= 7

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Verify that λ, is an eigenvalue 8 -1 3 0 6 1 07 0 Ax₁ = Ax₂ = A 8-1 3 0 61 0 0 07 0 8-13 0 0 6 1 2 07 81 3 Ax₂ = 0 of A and that x; is a corresponding eigenvector. A₁ = 8, x₁ = (1, 0, 0) ₂ = 6₁ x₂ = (1, 2, 0) A3 = 7, x₂ = (-2, 1, 1) 61 07 ↓ T 000= 4E0 ↓ 1 ---- = 80=2₁x₁ [] 2 =2₂x₂ 7 [1]] = λ₂x3

Verify that λ, is an eigenvalue 8 -1 3 0 6 1 07 0 Ax₁ = Ax₂ = A 8-1 3 0 61 0 0 07 0 8-13 0 0 6 1 2 07 81 3 Ax₂ = 0 of A and that x; is a corresponding eigenvector. A₁ = 8, x₁ = (1, 0, 0) ₂ = 6₁ x₂ = (1, 2, 0) A3 = 7, x₂ = (-2, 1, 1) 61 07 ↓ T 000= 4E0 ↓ 1 ---- = 80=2₁x₁ [] 2 =2₂x₂ 7 [1]] = λ₂x3

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 4EQ: In Exercises 1-6, show that vis an eigenvector of A and find the corresponding eigenvalue....

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