2. Compute the eigenvalues and eigenvectors of each of the following matri- ces. 0 -1 1 1 -1 - 1 0 TONOTO 0 2 0 -2 0 0 1 -1 0 3
2. Compute the eigenvalues and eigenvectors of each of the following matri- ces. 0 -1 1 1 -1 - 1 0 TONOTO 0 2 0 -2 0 0 1 -1 0 3
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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#2 how do I compute the eigenvalues and eigenvectors?
Transcribed Image Text:I
Figure 2.1.3. Action of the transformation (2.1.15) on R2, with a dou-
ble eigenvalue and one-dimensional eigenspace
2. Compute the eigenvalues and eigenvectors of each of the following matri-
ces.
BLAB
+
C
0
1
0 -2
2
0
0
3. Let A € M(n,C). We say A is diagonalizable if and only if there exists
an invertible B € M(n, C) such that B-¹AB is diagonal:
An
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