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JEE Math Practice Question

If $$P = \left[ {\begin{matrix} 1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4 \\ \end{matrix} } \right]$$ is the adjoint of a $$3 \times 3$$ matrix $$A$$ and $$\left| A \right| = 4,$$ then $$\alpha $$ is equal to :

  1. A.$$4$$
  2. B.$$11$$
  3. C.$$5$$
  4. D.$$0$$

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