Question

Using matrices, find the funds collected by school $Z$ by selling the above articles.

Answer 1

Forming the matrices

$\left[\begin{array}{ccc}25& 100& 50\end{array}\right]\left[\begin{array}{ccc}30& 40& 35\\ 12& 15& 20\\ 70& 55& 75\end{array}\right]$

$=\left[\begin{array}{ccc}25\times 30+12\times 100+50\times 70& 25\times 40+100\times 15+50\times 55& 25\times 35+100\times 20+50\times 75\end{array}\right]$

$=\left[\begin{array}{ccc}5450& 5250& 6625\end{array}\right]$

So fund collected by $y=Rs5250$

Fund collected by $z=Rs6625$