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JEE Math Practice Question

Let $$A = \left( {\begin{matrix} 1 & 0 & 0 \\ 0 & 4 & { - 1} \\ 0 & {12} & { - 3} \\ \end{matrix} } \right)$$. Then the sum of the diagonal elements of the matrix $${(A + I)^{11}}$$ is equal to :

  1. A.4094
  2. B.2050
  3. C.6144
  4. D.4097

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