1 (a) [0 1 0] Let A= 100 0 0 1 Determine the eigenvalues of A, and state the algebraic and geometric multi- plicity of each eigenvalue.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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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(a)
0
Let A= 100
0 0 1
Determine the eigenvalues of A, and state the algebraic and geometric multi-
plicity of each eigenvalue.
Transcribed Image Text:1 (a) 0 Let A= 100 0 0 1 Determine the eigenvalues of A, and state the algebraic and geometric multi- plicity of each eigenvalue.
(b)
Find (if possible) a diagonal matrix D and an invertible matrix P such that
A = PDP-1
Transcribed Image Text:(b) Find (if possible) a diagonal matrix D and an invertible matrix P such that A = PDP-1
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