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JEE Math Practice Question

Let $$A = \left| {\begin{matrix} 5 & {5\alpha } & \alpha \\ 0 & \alpha & {5\alpha } \\ 0 & 0 & 5 \\ \end{matrix} } \right|.$$ If $$\,\,\left| {{A^2}} \right| = 25,$$ then $$\,\left| \alpha \right|$$ equals

  1. A.$$1/5$$
  2. B.$$5$$
  3. C.$${5^2}$$
  4. D.$$1$$

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