Find eigenvalues and eigenvectors of the 3x3 matrix 2 3 1 3

Find eigenvalues and eigenvectors of the 3x3 matrix : [2 -3 1; 3 1 2; -5 2 -4]

Solution

[2 -3 1; 3 1 2; -5 2 -4]

l=eig(A)

l =

-2.6121e+000
8.0607e-001 +1.8872e+000i
8.0607e-001 -1.8872e+000i

>> [v,D]=eig(A)

v =

3.4208e-001 6.6239e-001 6.6239e-001
2.2151e-001 5.2629e-002 -3.8759e-001i 5.2629e-002 +3.8759e-001i
-9.1319e-001 -6.3296e-001 +8.7244e-002i -6.3296e-001 -8.7244e-002i

D =

-2.6121e+000 0 0
0 8.0607e-001 +1.8872e+000i 0
0 0 8.0607e-001 -1.8872e+000i

D is diagonals ,v is eigen vectors and l is eigen values. I find by using Matlab...