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Use matrix multiplication to answer an application question

Question 1 of 8

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Matrices \(M\) and \(N\) describe pieces of fruit sold at school canteen counters. The columns of \(M\) and the rows of \(N\) use the same fruit type order

M: Pieces sold

Rows, in order: Main counter, Courtyard counter

Columns, in order: Apples, Bananas

\[M = \begin{bmatrix} 3 & 2 \\ 3 & 4 \end{bmatrix}\]

N: value for one unit of each fruit type

Rows, in order: Apples, Bananas

Columns, in order: Sales value

\[N = \begin{bmatrix} \$1.01 \\ \$1.87 \end{bmatrix}\]
(a)2 marks

Use row-by-column multiplication to complete the labelled product \(MN\)

Rows: Main counter, Courtyard counter. Columns: Sales value ($)

\(MN\)
(b)1 mark

Interpret the entry in row 2, column 1 of \(MN\): Courtyard counter and Sales value