49. Let A be the matrix A = 10 0 -15 0 0 46-4 3 Too 0 0 42 0 (a) Find the Jordan canonical (normal) form J of A. (b) Find an invertible matrix P such that P-1 AP = J. (c) Find the minimal polynomial of A and factor it.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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H9. Let A be the matrix A =
100
-15 0 0
3
Too
46 -4
042 0
0
(a) Find the Jordan canonical (normal) form J of A.
(b) Find an invertible matrix P such that P-1 AP = J.
(c) Find the minimal polynomial of A and factor it.
Transcribed Image Text:H9. Let A be the matrix A = 100 -15 0 0 3 Too 46 -4 042 0 0 (a) Find the Jordan canonical (normal) form J of A. (b) Find an invertible matrix P such that P-1 AP = J. (c) Find the minimal polynomial of A and factor it.
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