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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
in Linear Algebra by (2.7k points)
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