Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

Across a two-week span, a shopkeeper notes how many packets of two distinct kinds of tea he sells and the profit earned from them. Matrices may be used to represent this information.
(a)[2]

Calculate $(30\ \ 20)\begin{pmatrix}1.2\\2\end{pmatrix}-(40\ \ 30)\begin{pmatrix}-0.5\\3\end{pmatrix}$.

(b)[1]

Explain what your result in part (a) represents.

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