Given the 2 by 2 matrix A, find the eigenvalues and eigenvectors by hand, and if possible, the matrix X that diagonalizes it. That is, rather than using software, show details on how to find the characteristic equation det(A – I) = 0, find its roots, and plug them back in to find the eigenvectors. Then show how to use them to diagonalize the matrix (if possible) and use that to raise to a higher power, as in a Markov process. (a) A = L. 4 (b) A = 3

Given the 2 by 2 matrix A, find the eigenvalues and eigenvectors by hand, and if possible, the matrix X that diagonalizes it. That is, rather than using software, show details on how to find the characteristic equation det(A – I) = 0, find its roots, and plug them back in to find the eigenvectors. Then show how to use them to diagonalize the matrix (if possible) and use that to raise to a higher power, as in a Markov process. (a) A = L. 4 (b) A = 3

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

See similar textbooks