Diagonalize A the matrix A. -27 2 3 4 3+ i√5 0 0 [S+W³² $ "VE] [3+1 0 3-i√√5 i√5] 0 0 [-³+1 0 O [3+i√2 -3+i√5 0 -3-i√5 0 3-ºi√₂ 03-i√2 -3+i√2 0 0 -3-i√2

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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Diagonalize the matrix A.
7]
4
A
=
[2
3
[3+i√5
0
0 [3+1/³5 ,_ /V/5]
0 3-i√5]
[-³.
0
−3+i√5
0
0 -3-i√5
[3+i√2
0 [-³
03-i√2
−3+i√2
0
0
0
-3-i√2
Transcribed Image Text:Diagonalize the matrix A. 7] 4 A = [2 3 [3+i√5 0 0 [3+1/³5 ,_ /V/5] 0 3-i√5] [-³. 0 −3+i√5 0 0 -3-i√5 [3+i√2 0 [-³ 03-i√2 −3+i√2 0 0 0 -3-i√2
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