How to find an eigenvector

I have a regular 5x5 matrix and want to find the eigenvector, how do I do that?

Answer 1

[KSSV]

Read about the function eig.

A = magic(5) ; 
[V,D] = eig(A) ;
vec = V 

vec = 5×5

-0.4472 0.0976 -0.6330 0.6780 -0.2619 -0.4472 0.3525 0.5895 0.3223 -0.1732 -0.4472 0.5501 -0.3915 -0.5501 0.3915 -0.4472 -0.3223 0.1732 -0.3525 -0.5895 -0.4472 -0.6780 0.2619 -0.0976 0.6330

val = diag(D)

val = 5×1

65.0000 -21.2768 -13.1263 21.2768 13.1263