Question

Let A=$\begin{bmatrix} 1 & \frac{1}{51} \\\ 0 & 1\end{bmatrix}$. If B=$\begin{bmatrix} 1 & 2 \\\ -1 & -1\end{bmatrix}$A $\begin{bmatrix} -1 & -2 \\\ 1 & 1\end{bmatrix}$, then the sum of all the elements of the matrix $\sum^{50}_{n=1}B^n$ is equal to

• A. 50
• B. 75
• C. 100
• D. 125

Answer 1

Answer: (C)

100

Answer 2

The correct option is(C): 100