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JEE Math Practice Question

If $$B = \left[ {\begin{matrix} 5 & {2\alpha } & 1 \\ 0 & 2 & 1 \\ \alpha & 3 & { - 1} \\ \end{matrix} } \right]$$ is the inverse of a 3 × 3 matrix A, then the sum of all values of $$\alpha $$ for which det(A) + 1 = 0, is :

  1. A.2
  2. B.- 1
  3. C.0
  4. D.1

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