Homework Statement
Given matrix A:
a 1 1 ... 1
1 a 1 ... 1
1 1 a ... 1
.. . .. ... 1
1 1 1 ... a
Show there is an eigenvalue of A whose geometric multiplicity is n-1. Express its value in terms of a.
Homework Equations
general eigenvalue/vector equations
The Attempt at a Solution
My...