JEE Main 202312 Apr, Morning shiftMathematicsHardMatrices and Determinants245× since 2002Let A=[115101]A=\left[\begin{array}{cc}1 & \frac{1}{51} \\ 0 & 1\end{array}\right]A=[105111]. If B=[12−1−1]A[−1−211]\mathrm{B}=\left[\begin{array}{cc}1 & 2 \\ -1 & -1\end{array}\right] A\left[\begin{array}{cc}-1 & -2 \\ 1 & 1\end{array}\right]B=[1−12−1]A[−11−21], then the sum of all the elements of the matrix \sum_\limits{n=1}^{50} B^{n} is equal toAOption A. 50BOption B. 75COption C. 100DOption D. 125CheckSkip · show solution
