*) Find the eigenvalues λ₁ < λ₂ < 3 and corresponding eigenvectors of the matrix A = -4 -9 26 0 -1 -4 0 0 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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¹) Find the eigenvalues ₁ < ₂ <3 and corresponding eigenvectors of the matrix
-4
0
0
The eigenvalue ₁ =
The eigenvalue 1₂ =
The eigenvalue 23 =
corresponds to the eigenvector
corresponds to the eigenvector
corresponds to the eigenvector
A =
-9
-1
0
26
-4
3
Transcribed Image Text:¹) Find the eigenvalues ₁ < ₂ <3 and corresponding eigenvectors of the matrix -4 0 0 The eigenvalue ₁ = The eigenvalue 1₂ = The eigenvalue 23 = corresponds to the eigenvector corresponds to the eigenvector corresponds to the eigenvector A = -9 -1 0 26 -4 3
The matrix
has eigenvalues -2, 1, and 3. Find its eigenvectors.
The eigenvalue -2 has associated eigenvector
The eigenvalue 1 has associated eigenvector
The eigenvalue 3 has associated eigenvector
.. 11
-2
000
A =
0
3
4
-2 0
-3 -1
Transcribed Image Text:The matrix has eigenvalues -2, 1, and 3. Find its eigenvectors. The eigenvalue -2 has associated eigenvector The eigenvalue 1 has associated eigenvector The eigenvalue 3 has associated eigenvector .. 11 -2 000 A = 0 3 4 -2 0 -3 -1
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