EM-2096

Matrix multiplication

E Math · Secondary 4 · Hard · Matrix multiplication

A bakery records the number of chocolate, vanilla and lemon cupcakes sold in a day at three outlets.

This is represented by matrix

P = \begin{pmatrix}45 & 60 & 50\\52 & 55 & 68\\40 & 48 & 62\end{pmatrix}

, where the columns are chocolate, vanilla and lemon respectively.

The cost to bake each chocolate, vanilla and lemon cupcake is represented by matrix

Q = \begin{pmatrix}1.30\\1.50\\1.10\end{pmatrix}

.

Find the matrix

R = PQ

$\begin{pmatrix}203.5\\224.9\\192.2\end{pmatrix}$
$\begin{pmatrix}203.5 & 224.9 & 192.2\end{pmatrix}$
$\begin{pmatrix}188.5\\210.9\\176.2\end{pmatrix}$
$\begin{pmatrix}224.9\\203.5\\192.2\end{pmatrix}$

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