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4.07 Further applications of matrices

Interactive practice questions

Matrix $A$A below shows the number of adults and children attending a school trip to aquarium, and matrix $B$B shows the cost of an entry ticket for an adult or child.

Which of the following matrix calculations will find the total cost of the group's entry?

$A$A $=$=
    Adults Children    
    $6$6 $43$43    
           
  $B$B $=$=
    $30$30   Adult price
    $14$14   Child price

$AB$AB

A

$A+B$A+B

B

$BA$BA

C

$B+A$B+A

D
Easy
< 1min

Matrix $A$A below shows the price of fish, chips, and drinks at a local fish-and-chip shop. Matrix $B$B shows the number of each that were ordered yesterday.

Which of the following matrix calculations will find the total amount of money spent at the fish-and-chip shop?

Easy
< 1min

Matrix $A$A below shows the number of people who visited a water park in 2018 and 2019 during each season.

Which of the following matrix calculations will find the total number of people who visited the water park in each year?

Easy
1min

Four friends are comparing their bicycles. They have realised that the wheels on the bikes are different sizes. The matrix below shows the radii of the wheels on each of their bikes in centimetres:

Easy
3min
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Outcomes

1.2.4

use matrices for storing and displaying information that can be presented in rows and columns; for example, databases, links in social or road networks

1.2.7

use matrices, including matrix products and powers of matrices, to model and solve problems; for example, costing or pricing problems, squaring a matrix to determine the number of ways pairs of people in a communication network can communicate with each other via a third person

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