1. Find the real eigenvalues of each matrix below. -2] (a) 3 (b) 0 -1 -4 2. Find h in the matrix A below such that the eigenspace for A = 3 is two-dimer [3 -1 4 -5 4 A = 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Q2
1. Find the real eigenvalues of each matrix below.
[7
(a)
-2]
3
3 -2
(b) 0 -1
6 7
3
2. Find h in the matrix A below such that the eigenspace for A = 3 is two-dimensional.
3 -1 4 -5]
4
h
0 3
2
0 0 0
Transcribed Image Text:1. Find the real eigenvalues of each matrix below. [7 (a) -2] 3 3 -2 (b) 0 -1 6 7 3 2. Find h in the matrix A below such that the eigenspace for A = 3 is two-dimensional. 3 -1 4 -5] 4 h 0 3 2 0 0 0
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