Show that the eigenvectors for any 2 2 correlation matrix are The first eigenvector satisfies [A I1]1 = 0 subject to the constraint

Show that the eigenvectors for any 2 × 2 correlation matrix are

The first eigenvector satisfies [A €“ Iλ1]Ï…1 = 0 subject to the constraint ||Ï…1|| = 1. Similarly, for the second eigenvector satisfies [A €“ Iλ2]Ï…2 = 0.

and similarly, 2 2)