Given , And $\vec{v}=(5,2)$ , Does $(\vec{u} \cdot \vec{v})(\mathbf{R}+\mathbf{S})=\left(\begin{array}{cc}-3 & -9 \\ -5 & 24\end{array}\right) ?$

True/False

Given $\mathbf{R}=\left(\begin{array}{cc}-4 & -4 \\ 1 & 5\end{array}\right), \mathbf{S}=\left(\begin{array}{cc}1 & -5 \\ -2 & 7\end{array}\right), \vec{u}=(1,1)$ , and $\vec{v}=(5,2)$ , does $(\vec{u} \cdot \vec{v})(\mathbf{R}+\mathbf{S})=\left(\begin{array}{cc}-3 & -9 \\ -5 & 24\end{array}\right) ?$