Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix 1 2 (a) the characteristic equation 42² - 1 = 0 (b) the eigenvalues (Enter your answers from smallest to largest.) (2₂₁ 2₂2) = 22) - (1 - 12/1/21/1/201 2' a basis for each of the corresponding eigenspaces 1 X1 = 1 3 X x₂ = -1,1 X NW 7|~

Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix 1 2 (a) the characteristic equation 42² - 1 = 0 (b) the eigenvalues (Enter your answers from smallest to largest.) (2₂₁ 2₂2) = 22) - (1 - 12/1/21/1/201 2' a basis for each of the corresponding eigenspaces 1 X1 = 1 3 X x₂ = -1,1 X NW 7|~

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 18EQ

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