Exercise 3. ) Let ( ) A = 3 -2 -2 1. Find the eignevalues of A. 2. Deduce that the matrix A is diagonalizable. 3. Find the eignevectors of A.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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Exercise 3.
) Let
A =
3
-2
-2
2
1. Find the eignevalues of A.
2. Deduce that the matrix A is diagonalizable.
3. Find the eignevectors of A.
4. Find a matrir P such that PAP is a diagonal matrix.
Transcribed Image Text:Exercise 3. ) Let A = 3 -2 -2 2 1. Find the eignevalues of A. 2. Deduce that the matrix A is diagonalizable. 3. Find the eignevectors of A. 4. Find a matrir P such that PAP is a diagonal matrix.
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