Consider  the 5X 5 matrix

$\begin{bmatrix} 1&2&3&4&5\\ 5&1 &2& 3 &4\\ 4&5&1&2&3\\ 3&4&5&1&2\\ 2&3&4&5&1 \end{bmatrix}$

It is given that A has only one real eigenvalue. Then the real eigenvalue of A is

1. -2.5
2. 0
3. 15
4. 25

edited