Hi I am attempting to determine the eigenvalues and eigenvectors of a 2x2 matrix.

So how to do the following Matlab instruction "manually":

>> A = [1 1; 1 2]

A =

1 1

1 2

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

V =

-0.8507 0.5257

0.5257 0.8507

D =

0.3820 0

0 2.6180

>>

I already managed to determine the diagonal matrix D with the eigenvalues but

how can I get the matrix v that contains the eigenvectors?