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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What are the eigenvalues of the matrix below? Determine whether the eigenvalues of the matrix are distinct real, repeated real, or complex.

 

[2
31
l1
Transcribed Image Text:[2 31 l1
Expert Solution
Step 1

The given matrix is A=2310

To find the eigen values of the matrix we solve 

A-λI=0 where λ is the eigen value of the matrix.

This gives us 

2-λ31-λ=0

Solving the determinant we get

-λ(2-λ)-3=0-2λ+λ2-3=0λ2-2λ-3=0

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