EM-2091

Matrix multiplication

E Math · Secondary 4 · Hard · Matrix multiplication

A paint shop mixes three base colours (Red, Blue, Yellow) to make two shades, D and E. One can of D needs 1 L red, 2 L blue, 3 L yellow. One can of E needs 2 L red, 1 L blue, 0 L yellow. The matrix of base colours per can is

M = \begin{pmatrix}1 & 2\\2 & 1\\3 & 0\end{pmatrix}.

The shop makes 3 cans of D and

x

cans of E. Represent this in a

2\times 1

matrix

N

and find

MN

in terms of

x

$\begin{pmatrix}3+2x\\6+x\\9\end{pmatrix}$
$\begin{pmatrix}3+2x\\6+2x\\9\end{pmatrix}$
$\begin{pmatrix}3x+2\\6x+1\\9x\end{pmatrix}$
$\begin{pmatrix}3+ x\\6+2x\\9\end{pmatrix}$

Loading problem…