The matrix A = The larger eigenvalue 2₂ is -1 7 4 1 3 -1 5 -3 -1 2 -3 1 1 6 -4 has two distinct real eigenvalues λ₁ <^₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue ₁ is. and a basis for its associated eigenspace is (-) and a basis for its associated eigenspace is (EE))

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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The matrix
1
5
2 -3
1 6
has two distinct real eigenvalues 2₁ <^₂. Find the eigenvalues and a basis for each eigenspace.
The smaller eigenvalue ₁ is
and a basis for its associated eigenspace is
The larger eigenvalue 2₂ is
A =
4
1
-1
-1
1
3
-3
and a basis for its associated eigenspace is
Transcribed Image Text:The matrix 1 5 2 -3 1 6 has two distinct real eigenvalues 2₁ <^₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue ₁ is and a basis for its associated eigenspace is The larger eigenvalue 2₂ is A = 4 1 -1 -1 1 3 -3 and a basis for its associated eigenspace is
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