find the invertible model matrix P and show that P-¹AP = D where D is the diagonal spectral matrix. 0 V1 1 40 -A -1 V2 = 1 The eigenvalues of the matrix A are given by λ = - 1, 2, 4, 1. Eigenvectors for λ = - 1 2. Eigenvectors for λ = 2 3 A 2 7-8 1 3. Eigenvectors for λ = 4 1 --0 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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find the invertible model matrix P and show that P-¹AP = D where D is the diagonal
spectral matrix.
0
-0
V1
The eigenvalues of the matrix A are given by λ = - 1, 2, 4,
1. Eigenvectors for λ = - 1
2. Eigenvectors for λ = 2
-1
-A
V2 =
1
3
A 2 7-8
14
1
3. Eigenvectors for λ = 4
1
--0
1
Transcribed Image Text:find the invertible model matrix P and show that P-¹AP = D where D is the diagonal spectral matrix. 0 -0 V1 The eigenvalues of the matrix A are given by λ = - 1, 2, 4, 1. Eigenvectors for λ = - 1 2. Eigenvectors for λ = 2 -1 -A V2 = 1 3 A 2 7-8 14 1 3. Eigenvectors for λ = 4 1 --0 1
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