1.

Consider the 5 × 5 matrix\(A = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5\\ 5&1&2&3&4\\ 4&5&1&2&3\\ 3&4&5&1&2\\ 2&3&4&5&1 \end{array}} \right]\).It is given that A has only one real eigenvalue. Then the real eigenvalue of A is

A. -2.5
B. 0
C. 15
D. 25
Answer» D. 25


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