Consider the matrix 0 1 0 0 0010 0001 1000 (a) Find the eigenvalues by finding the characteristic polynomial and looking at its roots. (b) Find the eigenvalues by setting up a system of equations Ar = λ and solving the easy system of equations in the variables x1, x2, x3, x4 for possible X's. (c) For (each/the) eigenvalue, find the corresponding eigenvectors and eigenspaces.
Consider the matrix 0 1 0 0 0010 0001 1000 (a) Find the eigenvalues by finding the characteristic polynomial and looking at its roots. (b) Find the eigenvalues by setting up a system of equations Ar = λ and solving the easy system of equations in the variables x1, x2, x3, x4 for possible X's. (c) For (each/the) eigenvalue, find the corresponding eigenvectors and eigenspaces.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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