Find the geometric and algebraic multiplicity of each eigenvalue of the matrix A, and determine whether A is diagonalizable. If A is diagonalizable, then find a matrix P that diagonalizes A, and find P-¹AP. a. A = -1 4 -27 -3 4 0 -3 1 3

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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4.
Find the geometric and algebraic multiplicity of each eigenvalue of the matrix A, and determine
whether A is diagonalizable. If A is diagonalizable, then find a matrix P that diagonalizes A, and find
P-¹AP.
a.
A=
=
-1 4
-3 4
3
0
3
[19 -9
b. A 25 -11 -9
17 -9
Transcribed Image Text:4. Find the geometric and algebraic multiplicity of each eigenvalue of the matrix A, and determine whether A is diagonalizable. If A is diagonalizable, then find a matrix P that diagonalizes A, and find P-¹AP. a. A= = -1 4 -3 4 3 0 3 [19 -9 b. A 25 -11 -9 17 -9
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