2 -1 (c) C= 0 0 4 -1 - 2 1 " (d) D = ㄴ 1 2 3 0 0-1 - 1 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve part c and d please
Exercise 8.9.1 Find the algebraic and geometric multiplicity of each eigenvalue of the following matrices.
Which of the matrices are diagonalizable?
I
2 -1
(a) A =
[43] (b) B=
-1 3
0-1 1
3
--------
(c) C= 0 4 2 (d) D=
2
-78
-4 5
0 -1 4
3
(e) E=
-2
-1
-2
0 1
-1 1
10
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? I 2 -1 (a) A = [43] (b) B= -1 3 0-1 1 3 -------- (c) C= 0 4 2 (d) D= 2 -78 -4 5 0 -1 4 3 (e) E= -2 -1 -2 0 1 -1 1 10
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