Question 22

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Jambmaths question: 

$\begin{align}  & \text{If }P=\left[ \begin{matrix}   5 & 3  \\   2 & 1  \\\end{matrix} \right]\text{ and }Q=\left[ \begin{matrix}   4 & 2  \\   3 & 5  \\\end{matrix} \right],\text{ find }2P+Q \\ & (A)\text{ }\left[ \begin{matrix}   8 & 14  \\   7 & 7  \\\end{matrix} \right] \\ & (B)\text{ }\left[ \begin{matrix}   7 & 7  \\   14 & 8  \\\end{matrix} \right] \\ & (C)\text{ }\left[ \begin{matrix}   14 & 8  \\   7 & 7  \\\end{matrix} \right] \\ & (D)\text{ }\left[ \begin{matrix}   7 & 7  \\   8 & 14  \\\end{matrix} \right] \\\end{align}$

Jamb Maths Solution: 

$\begin{align}  & P=\left[ \begin{matrix}   5 & 3  \\   2 & 1  \\\end{matrix} \right]\text{ and }Q=\left[ \begin{matrix}   4 & 2  \\   3 & 5  \\\end{matrix} \right],\text{ } \\ & 2P+Q=2\left[ \begin{matrix}   5 & 3  \\   2 & 1  \\\end{matrix} \right]+\left[ \begin{matrix}   4 & 2  \\   3 & 5  \\\end{matrix} \right]=\left[ \begin{matrix}   10 & 6  \\   4 & 2  \\\end{matrix} \right]+\left[ \begin{matrix}   4 & 2  \\   3 & 5  \\\end{matrix} \right] \\ & 2P+Q=\left[ \begin{matrix}   10+4 & 6+2  \\   4+3 & 2+5  \\\end{matrix} \right]=\left[ \begin{matrix}   14 & 8  \\   7 & 7  \\\end{matrix} \right] \\\end{align}$

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