Given the matrix A below, find the three matrices that will diagonalize it into A = PDP-¹. Use Mathematica to find the components of P and D, then to find P-1. Verify that your matrices multiply together to yield the original matrix A. 4 0 A 6 9 L15 4 2 3 1 -2 -2 12 11 2 20 10 28 -21 2 -4 10 -6 -3 14 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Using Wolfram Mathematica, write working code to solve the problem.
5. Given the matrix A below, find the three matrices that will diagonalize it into A = PDP-¹. Use
Mathematica to find the components of P and D, then to find P-1. Verify that your matrices multiply
together to yield the original matrix A.
A =
4
0
6
9
15
4 2
1
12
3
-2 -2
11
20
10
28 14
-21
2
2 -4
10
-6
5 -3
Transcribed Image Text:5. Given the matrix A below, find the three matrices that will diagonalize it into A = PDP-¹. Use Mathematica to find the components of P and D, then to find P-1. Verify that your matrices multiply together to yield the original matrix A. A = 4 0 6 9 15 4 2 1 12 3 -2 -2 11 20 10 28 14 -21 2 2 -4 10 -6 5 -3
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