11 -12 8. -6 12 -14 10 -8 A = -5 6. -3 3 -14 18 -12 11 Find a matrix P such that D = P-l AP is the Jordan canonical form of A. The Jordan form is upper triangular. The blocks are ordered increasingly by eigenvalue and then by block size. 3 1.5 1 3 1 2/3 -0.5 1 P = D = -1.5 -3 1 2
11 -12 8. -6 12 -14 10 -8 A = -5 6. -3 3 -14 18 -12 11 Find a matrix P such that D = P-l AP is the Jordan canonical form of A. The Jordan form is upper triangular. The blocks are ordered increasingly by eigenvalue and then by block size. 3 1.5 1 3 1 2/3 -0.5 1 P = D = -1.5 -3 1 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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Question

Transcribed Image Text:11
-12
8
-6
12
-14
10
-8
A =
-5
6.
-3
-14
18
-12
11
Find a matrix P such that D = P¯' AP is the Jordan canonical form of A. The Jordan form is upper triangular. The blocks are ordered increasingly by
eigenvalue and then by block size.
3
1.5
1
1
1
2/3
-0.5
1
P =
D =
-1.5
1
-3
1
2
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