14 0 15 O 14 0 O 14 The matrix A has one real eigenvalue. Find this eigenvalue and a basis eigenspace. The eigenvalue is A basis for the eigenspace is { }
14 0 15 O 14 0 O 14 The matrix A has one real eigenvalue. Find this eigenvalue and a basis eigenspace. The eigenvalue is A basis for the eigenspace is { }
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:14 0 15
O 14 0
O 14
The matrix A
has one real eigenvalue. Find this eigenvalue and a basis
eigenspace.
The eigenvalue is
A basis for the eigenspace is
{
}

Transcribed Image Text:The matrix
5.
-1 - 30
0 0
A
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis
for each eigenspace.
The eigenvalue 1 of multiplicity 1 is
and a basis for its eigenspace is
{
}.
The eigenvalue A2 of multiplicity 2 is
and a basis for its eigenspace is
{
}.
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