1. For a matrix A denote the characteristic polynomial of A by S(1), ie. (,) det(A-11), where I is the identity matrix. (a) Prove that 2 (t (b) Given that ξ01)-r+41+1, find ξ? (1). 2)-S1(1)5,(-1)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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1. For a matrix A denote the characteristic polynomial of A by S(1), ie.
(,)
det(A-11),
where I is the identity matrix.
(a) Prove that 2 (t
(b) Given that ξ01)-r+41+1, find ξ? (1).
2)-S1(1)5,(-1)
Transcribed Image Text:1. For a matrix A denote the characteristic polynomial of A by S(1), ie. (,) det(A-11), where I is the identity matrix. (a) Prove that 2 (t (b) Given that ξ01)-r+41+1, find ξ? (1). 2)-S1(1)5,(-1)
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