Math Help - Diangonalize the following Matrix if Possible.

1. Diangonalize the following Matrix if Possible.

Diagonalize the following matrix if possible.

A=

|4 , 2 , 2|
|2 , 4 , 2|
|-2, 2 , 4|

Help for some starters?

2. Do you know how to find eigenvectors?

3. Yeah the EigenValues are

Yeah the EigenValues are 2, 2, 8

4. Ok, well you are well on your way, now follow this example, its a corker.

5. What example

What example?

6. pickslide's question was "do you know how to find eigenvectors", not eigenvalues!

A 3 by 3 matrix can be diagonalized if and only if it has 3 independent eigenvectors.

If that is true then $P^{-1}AP$ is diagonal where P is the matrix having A's eigenvectors as columns.