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JEE Math Practice Question

Let $$A = \left( {\begin{matrix} 2 & { - 1} \\ 0 & 2 \\ \end{matrix} } \right)$$. If $$B = I - {}^5{C_1}(adj\,A) + {}^5{C_2}{(adj\,A)^2} - \,\,.....\,\, - {}^5{C_5}{(adj\,A)^5}$$, then the sum of all elements of the matrix B is

  1. A.$$-$$5
  2. B.$$-$$6
  3. C.$$-$$7
  4. D.$$-$$8

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