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JEE Math Practice Question

Let $$A=\left[\begin{array}{ll}1 & 2 \\ 0 & 1\end{array}\right]$$ and $$B=I+\operatorname{adj}(A)+(\operatorname{adj} A)^2+\ldots+(\operatorname{adj} A)^{10}$$. Then, the sum of all the elements of the matrix $$B$$ is:

  1. A.$$-$$110
  2. B.22
  3. C.$$-$$124
  4. D.$$-$$88

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