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Given R=(3415),S=(1327)\mathbf{R}=\left(\begin{array}{cc}-3 & -4 \\ 1 & 5\end{array}\right), \mathbf{S}=\left(\begin{array}{cc}1 & 3 \\ -2 & 7\end{array}\right)

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Given R=(3415),S=(1327)\mathbf{R}=\left(\begin{array}{cc}-3 & -4 \\ 1 & 5\end{array}\right), \mathbf{S}=\left(\begin{array}{cc}1 & 3 \\ -2 & 7\end{array}\right) , and v=(1,2)\vec{v}=(-1,2) what is (RS)v(\mathbf{R}-\mathbf{S}) \vec{v} ?

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