Given a specific Eigenvalue , how do I find an eigenvector of a Matrix ?

Specifically, if and

By the way, is there a way to make my Matrix look a little neater/lined up?

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- Jun 10th 2009, 01:56 PMNerdfighterFinding the eigenvector
Given a specific Eigenvalue , how do I find an eigenvector of a Matrix ?

Specifically, if and

By the way, is there a way to make my Matrix look a little neater/lined up? - Jun 10th 2009, 02:07 PMTheAbstractionist
- Jun 10th 2009, 02:17 PMNerdfighter
How Do I pick one? I obviously can't pick any numbers for x, y, and z.

- Jun 10th 2009, 02:44 PMTheAbstractionist
I did not say pick any numbers for Pick so that they satisfy the eigenvalue equation.

- Jun 10th 2009, 02:46 PMNerdfighter
- Jun 10th 2009, 03:02 PMTheEmptySet
Solve the matrix equation

Since your eigen value is 4 we get

putting this in reduced row form we get

Solving the above homogenious equation gives

or

So that is the eigen vector

p.s if you use the \begin{bmatrix} \end{bmatrix} tags it will auto format all of your columns - Jun 10th 2009, 03:06 PMNerdfighter
Thank you, that's what I needed!

- Jun 10th 2009, 10:41 PMSwlabr
- Jun 10th 2009, 10:42 PMNerdfighter