A diagonalization of the matrix A is given in the form P-¹AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) A₁ = d₂ = 23 = 181249 1 18 1 2 4 1 18 1 2 5 9 4 4 4 0 0 1 443 9 1 0 1 -1 1 8 0-1 has eigenspace span has eigenspace span = has eigenspace span ↓ 1 (LF) 80 0 00 0 00-1 (smallest λ-value) (largest λ-value)
A diagonalization of the matrix A is given in the form P-¹AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) A₁ = d₂ = 23 = 181249 1 18 1 2 4 1 18 1 2 5 9 4 4 4 0 0 1 443 9 1 0 1 -1 1 8 0-1 has eigenspace span has eigenspace span = has eigenspace span ↓ 1 (LF) 80 0 00 0 00-1 (smallest λ-value) (largest λ-value)
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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Transcribed Image Text:A diagonalization of the matrix A is given in the form P-¹AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the
same eigenspaces.)
d₁=
=
^₂ =
13 =
1007240
18
1007/N +10
18 18
2
1
4
1
2
5
9
4 4 4
0 0 1
4 4 3
9 1
0
1 -1 1
8 0 -1
has eigenspace span
has eigenspace span
has eigenspace
=
80 0
00 0
0 0 -1
(LF)
span
(smallest λ-value)
(largest λ-value)
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