| 1 2 0 |
A = | 3 2 0 |
| 0 0 3 |
Find the eigen values and corresponding eigenspace. I know generally how to find eigenvalues but in a 3x3 matrix I get a cubic function that I cannot find the roots for. Thanks so much for the help!
| 1 2 0 |
A = | 3 2 0 |
| 0 0 3 |
Find the eigen values and corresponding eigenspace. I know generally how to find eigenvalues but in a 3x3 matrix I get a cubic function that I cannot find the roots for. Thanks so much for the help!
solve $\displaystyle det(A - Ix)=0$
I got $\displaystyle det(A - Ix)=(3-x)[(1-x)(2-x)-2*3]=(3-x)[2-3x+x^2-6]=(3-x)(x-4)(x+1)$
so eigenvalues are 3,4,-1
Can you take it from here? You just gotta solve:
$\displaystyle (A-I\lambda_i)v_i=0$
and these will give the the associated eigenvector to the eigenvalues.