The characteristic polynomial of the following matrix have been provided. Find the Jordan canonical form J and an invertible matrix Q such that A = QJQ-¹. A = -2 -1 0 0 1 0 00 -2 O 0 1 -5 1 ,char(t) = (1-t)² (1+t)². I

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The characteristic polynomial of the following matrix have been provided. Find the Jordan
canonical form J and an invertible matrix Q such that A = QJQ-¹.
-2 -1 0 0
1 0 0 0
-CD
A =
-2 0 1 0
0 1 -5 1
char(t) = (1 t) ² (1+t)².
I
Transcribed Image Text:The characteristic polynomial of the following matrix have been provided. Find the Jordan canonical form J and an invertible matrix Q such that A = QJQ-¹. -2 -1 0 0 1 0 0 0 -CD A = -2 0 1 0 0 1 -5 1 char(t) = (1 t) ² (1+t)². I
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