Mathematics - Matrices Question with Solution | TestHub

Given $$\begin{array}{rl}& \left[\begin{array}{lll}p& q& r\end{array}\right]\left[\begin{array}{lll}3& 4& 1\\ 3& 2& 3\\ 2& 0& 2\end{array}\right]=\left[\begin{array}{lll}3& 0& 1\end{array}\right]\\ & \Rightarrow \left[\begin{array}{lll}3p+3q+2r& 4p+2q& p+3q+2r\end{array}\right]=\left[\begin{array}{lll}3& 0& 1\end{array}\right]\\ & \Rightarrow 3p+3q+2r=3\\ & 4p+2q=0\Rightarrow q=-2p\\ & p+3q+2r=1\\ & \end{array}$$ $p=1,q=-2,r=3$ $\therefore 2p+q-r=2(1)+(-2)-(3)=-3$.