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Use matrix multiplication to answer an application question

Question 1 of 8

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The matrices show small stationery items sold at school supply counters. Matrix \(M\) records items sold for each counter. Matrix \(N\) records the value for one unit of each item type

M: Items sold

Rows, in order: Library counter, Office counter

Columns, in order: Pencils, Erasers

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

N: value for one unit of each item type

Rows, in order: Pencils, Erasers

Columns, in order: Sales value

\[N = \begin{bmatrix} \$1.51 \\ \$1.87 \end{bmatrix}\]
(a)2 marks

Calculate \(MN\). Enter each total with the unit shown for its product column

Rows: Library counter, Office counter. Columns: Sales value ($)

\(MN\)
(b)1 mark

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