200200-2(a) Enter X₁, the eigenvalue with algebraic multiplicity one, and then X2, the eigenvalue with algebraic multiplicity two.Find the eigenvalues and their corresponding eigenspaces of the matrix A=A1, A2=u-2,2Note: Enter two numbers separated by a comma.(b) Enter an eigenvector for the eigenvalue X₁, which has multiplicity one.ΣMv or V, W42Note: Your answer should be a vector of the form (u₁, U2, U3).(c) Enter eigenvector(s) for the eigenvalue X2, which has multiplicity two.• If all the eigenvectors are proportional to each other, then enter only one eigenvector.If there are two eigenvectors not proportional to each other, then enter these two eigenvectors.ΣNote: Your answer should be either one vector of the form (V1, V2, V3) or two vectors separated by commas.

Accordind to question,given Matrix,A = 20402200-2

20 4 02 2 00-2 (a) Enter X₁, the eigenvalue with algebraic multiplicity one, and then X2, the eigenvalue with algebraic multiplicity two. A1, A₂ = Find the eigenvalues and their corresponding eigenspaces of the matrix A -2,2 Note: Enter two numbers separated by a comma. (b) Enter an eigenvector for the eigenvalue X₁, which has multiplicity one. Σ u M Note: Your answer should be a vector of the form (u1, 2, 3). (c) Enter eigenvector(s) for the eigenvalue A2, which has multiplicity two. • If all the eigenvectors are proportional to each other, then enter only one eigenvector. • If there are two eigenvectors not proportional to each other, then enter these two eigenvectors. Σ v or V, W Note: Your answer should be either one vector of the form (V1, V2, V3) or two vectors separated by commas.

20 4 02 2 00-2 (a) Enter X₁, the eigenvalue with algebraic multiplicity one, and then X2, the eigenvalue with algebraic multiplicity two. A1, A₂ = Find the eigenvalues and their corresponding eigenspaces of the matrix A -2,2 Note: Enter two numbers separated by a comma. (b) Enter an eigenvector for the eigenvalue X₁, which has multiplicity one. Σ u M Note: Your answer should be a vector of the form (u1, 2, 3). (c) Enter eigenvector(s) for the eigenvalue A2, which has multiplicity two. • If all the eigenvectors are proportional to each other, then enter only one eigenvector. • If there are two eigenvectors not proportional to each other, then enter these two eigenvectors. Σ v or V, W Note: Your answer should be either one vector of the form (V1, V2, V3) or two vectors separated by commas.

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 24EQ

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