1. 3. 5. In Exercises 1-6, find the characteristic equation of the given sym- metric matrix, and then by inspection determine the dimensions of the eigenspaces. 1 1 4 4 0 0 4 1 1 4 0 0 4 0 0 00 0 0 0 0 2. 4. 6. 1 -4 -4 1 2 -2 4 2 2 2 -1 0 0 242 21 N24 2 -2 -2 -1 2 0 0 -1 2 NOO 2 Log

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.5: Iterative Methods For Computing Eigenvalues
Problem 42EQ
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In Exercises 1-6, find the characteristic equation of the given sym- metric matrix; and then by Inspection determine the
dimensions of the eigenspaces-44172-2 E; 4;22-8
1.
5.
In Exercises 1-6, find the characteristic equation of the given sym-
metric matrix, and then by inspection determine the dimensions of
the eigenspaces.
[23]
4
3 1
1
1 1
1
4
4 0 0
4
4 00
0
00 0
10 000
K
2.
4.
6.
1
−4
2
[4 2 2]
2
2 4
INN
<-4
1
-2
−2 −2]
24
0
0
rix-and-then-by-inspe
21
2 -1
0 01
2
0
0
0
2
-1
0 -1
2
Transcribed Image Text:In Exercises 1-6, find the characteristic equation of the given sym- metric matrix; and then by Inspection determine the dimensions of the eigenspaces-44172-2 E; 4;22-8 1. 5. In Exercises 1-6, find the characteristic equation of the given sym- metric matrix, and then by inspection determine the dimensions of the eigenspaces. [23] 4 3 1 1 1 1 1 4 4 0 0 4 4 00 0 00 0 10 000 K 2. 4. 6. 1 −4 2 [4 2 2] 2 2 4 INN <-4 1 -2 −2 −2] 24 0 0 rix-and-then-by-inspe 21 2 -1 0 01 2 0 0 0 2 -1 0 -1 2
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