Matrices_JEE-Main 050424_(S2) - Competishun – Live JEE & NEET Courses and Exam Prep

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JEE Main 2024

04-04-2024 S2

Question

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

Select the correct option:

A

-110

B

22

C

-88

D

-124

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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