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Use matrix multiplication to answer an application question

Question 1 of 8

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The matrices show seed packets sold at garden-centre registers. Matrix \(A\) records packets sold for each register. Matrix \(B\) records the value for one unit of each seed type

A: Packets sold

Rows, in order: Front register, Nursery register, Outdoor register

Columns, in order: Herb seeds, Flower seeds

\[A = \begin{bmatrix} 2 & 1 \\ 4 & 2 \\ 3 & 2 \end{bmatrix}\]

B: value for one unit of each seed type

Rows, in order: Herb seeds, Flower seeds

Columns, in order: Sales value

\[B = \begin{bmatrix} \$1.71 \\ \$1.37 \end{bmatrix}\]
(a)3 marks

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

Rows: Front register, Nursery register, Outdoor register. Columns: Sales value ($)

\(AB\)
(b)1 mark

Interpret the entry in row 2, column 1 of \(AB\): Nursery register and Sales value