Let three matrices are \( \mathrm{A}=\left[\begin{array}{ll}2 & 1 \\ 4 & 1\end{array}\right] ; B...

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Let three matrices are \( \mathrm{A}=\left[\begin{array}{ll}2 & 1 \\ 4 & 1\end{array}\right] ; B=\left[\begin{array}{ll}3 & 4 \\ 2 & 3\end{array}\right] \) and \( \mathrm{C}=\left[\begin{array}{cc}3 & -4 \\ -2 & 3\end{array}\right] \), then
\( \mathrm{P} \) \( \mathrm{t}_{r}(\mathrm{~A})+\mathrm{t}_{\mathrm{r}}\left(\frac{\mathrm{ABC}}{2}\right)+\mathrm{t}_{\mathrm{r}}\left(\frac{\mathrm{A}(\mathrm{BC})^{2}}{4}\right)+\mathrm{t}_{\mathrm{r}}\left(\frac{\mathrm{A}(\mathrm{BC})^{3}}{8}\right)+\ldots \ldots .+\infty \) is equal to-
(A) 6
(B) 9
(C) 12
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