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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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