- #1
BraedenP
- 96
- 0
Homework Statement
[tex]\begin{bmatrix}
-7 && -16 && 4\\
6 && 13 && -2\\
12 && 16 && 1
\end{bmatrix}[/tex]
Diagonalize the matrix (if possible), given that one eigenvalue is 5, and that one eigenvector is {-2, 1, 2}
Homework Equations
[tex]A=PDP^{-1}[/tex]
The Attempt at a Solution
If I were allowed to simply calculate the eigenvalues and corresponding eigenvectors, I'd be able to determine if it's diagonalizable and if so, to diagonalize it. The problem here is that I have to go only on the provided information.
I'm stuck regarding how to proceed with this question. Where do I start?
Thanks!