0 votes 0 votes Consider the 5 $\times$ 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 $-2.5$ $0$ $15$ $25$ Linear Algebra gate2017-ec-1 linear-algebra matrices eigen-values + – admin asked Nov 17, 2017 retagged Mar 2, 2021 by Lakshman Bhaiya admin 46.4k points 372 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.