- #1

Rubik

- 97

- 0

## Homework Statement

Identify the stable, unstable and center eigenspaces for

[itex]\dot{y}[/itex] = the 3x3 matrix

row 1: 0, -3, 0

row 2: 3, 0, 0

row 3: 0, 0, 1

## Homework Equations

## The Attempt at a Solution

This is an example used from the lecture and I understand how to get the eigenvalues

λ

_{1,2}= ±3i and λ

_{3}= 1.

However, I do not see how to find E

^{C}?

I understand how E

^{U}= the vector (0, 0, 1)

But I do not see how to find E

^{C}= {(1, 0, 0) and (0, 1, 0)}

Can anyone explain this for me?

Last edited: