Aaaba Please answer the following question attached below; Information; A = 3 2 k and 22 -1 Please find the following from information below; 1) Find Characteristic polynomial p(landa) and use it as it = 0, to find k, given that one eigenvalue is landa₁ =5, what is the other eigenvalue landa2 2) Find eigenvector V₁ connected to eigenvalue landa₁ = 5 3) The vector r = A 10 2 is to be written as a linear combination of the eigenvectors v₁ Find ci and C2 such that r = c₁ 2₁ + €₂%₂²

Aaaba Please answer the following question attached below; Information; A = 3 2 k and 22 -1 Please find the following from information below; 1) Find Characteristic polynomial p(landa) and use it as it = 0, to find k, given that one eigenvalue is landa₁ =5, what is the other eigenvalue landa2 2) Find eigenvector V₁ connected to eigenvalue landa₁ = 5 3) The vector r = A 10 2 is to be written as a linear combination of the eigenvectors v₁ Find ci and C2 such that r = c₁ 2₁ + €₂%₂²

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 28EQ

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