Year 11 General Matrices And Matrix Arithmetic

Problem-Solving And Modelling With Matrices

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Questions

Question 1

29681

Matrix $T$ shows the number of apples and pears that Tom purchased. Matrix $C$ shows the cost of the apples and pears. Use a matrix product to calculate the total cost.

Answer

$3.10

Worked Solution

\begin{aligned}
\text { Total Cost } &=T \times C \\
&=\left[\begin{array}{ll}
4 & 3
\end{array}\right] \times\left[\begin{array}{l}
0.40 \\
0.50
\end{array}\right] \\
&=[4 \times 0.40+3 \times 0.50] \\
&=[1.60+1.50] \\
&=\$3.10
\end{aligned}

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