For a matrix \( A=\left[\begin{array}{cc}1 & 2 r-1 \\ 0 & 1\end{array}\right] \), the value of \...
For a matrix \( A=\left[\begin{array}{cc}1 & 2 r-1 \\ 0 & 1\end{array}\right] \), the value of \( \prod_{r=1}^{50}\left[\begin{array}{cc}1 & 2 r-1 \\ 0 & 1\end{array}\right] \) is equal to -
\( \mathrm{P} \)
(A) \( \left[\begin{array}{cc}1 & 100 \\ 0 & 1\end{array}\right] \)
(B) \( \left[\begin{array}{cc}1 & 4950 \\ 0 & 1\end{array}\right] \)
(C) \( \left[\begin{array}{cc}1 & 5050 \\ 0 & 1\end{array}\right] \)
(D) \( \left[\begin{array}{cc}1 & 2500 \\ 0 & 1\end{array}\right] \)
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