Exercise 8.9.1 Find the algebraic and geometric multiplicity of each eigenvalue of the following matrices. Which of the matrices are diagonalizable? (c) C= (a) A = 2-1 1 0 4 2 1 0-1 1 [43] -1 (d) D= (b) B = 3 1 -1 0 2 1 0-1 4 -7 8 -4 5 (e) E= 01 -1 -1 1 10
Exercise 8.9.1 Find the algebraic and geometric multiplicity of each eigenvalue of the following matrices. Which of the matrices are diagonalizable? (c) C= (a) A = 2-1 1 0 4 2 1 0-1 1 [43] -1 (d) D= (b) B = 3 1 -1 0 2 1 0-1 4 -7 8 -4 5 (e) E= 01 -1 -1 1 10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![Exercise 8.9.1 Find the algebraic and geometric multiplicity of each eigenvalue of the following matrices.
Which of the matrices are diagonalizable?
(c) C=
2-1 1
0
0
4
-1
(a) A
-
1
1
4=[-] (b) B=
1
3
2
1
(d) D=
3 1
0
2
[
1].
4
-7 8
-4 5
(e) E=
-2 0
-1
-2
-
1]
-1 1
10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52fb4760-8b56-41d1-811f-26cd2f9d5b41%2F23f8c264-3365-4928-9e4b-3087fc95fcb1%2Fryyg6rr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 8.9.1 Find the algebraic and geometric multiplicity of each eigenvalue of the following matrices.
Which of the matrices are diagonalizable?
(c) C=
2-1 1
0
0
4
-1
(a) A
-
1
1
4=[-] (b) B=
1
3
2
1
(d) D=
3 1
0
2
[
1].
4
-7 8
-4 5
(e) E=
-2 0
-1
-2
-
1]
-1 1
10
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