14. (a) Find all the eigenvalues and their algebraic and geometric multiplicities. (b) Find bases for the corresponding eigenspaces. (c) Is the matrix is diagonalizable? Explain. If it is, then find P and D. 5 2 -9 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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14. (a) Find all the eigenvalues and their algebraic and geometric multiplicities.
(b) Find bases for the corresponding eigenspaces.
(c) Is the matrix is diagonalizable? Explain. If it is, then find P and D.
5 2
-9
6
Transcribed Image Text:14. (a) Find all the eigenvalues and their algebraic and geometric multiplicities. (b) Find bases for the corresponding eigenspaces. (c) Is the matrix is diagonalizable? Explain. If it is, then find P and D. 5 2 -9 6
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