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AustraliaVIC
VCE 11 General 2023

6.07 Applications of matrices

Interactive practice questions

A team of students is building some robots to play football. To do this, the students need to program the robots to travel certain distances. The matrix shows the radii of the wheels on several of the robots in centimetres.

    $4.5$4.5 $3.8$3.8    
    $3.9$3.9 $3.1$3.1    
a

What scalar multiplication will give the distances travelled by the robots with each rotation of their wheels?

b

Hence find these distances correct to one decimal place.

    $\editable{}$ $\editable{}$    
    $\editable{}$ $\editable{}$    
Easy
4min

A second-hand bookstore sells textbooks at a markup of $50%$50%. The table shows the amounts they paid for old textbooks during the past academic year.

Easy
9min

A small clothing store sells their clothes at a markup of $49.5%$49.5%. The table shows the amount they paid for stock for their summer and winter range.

Easy
11min
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Outcomes

U1.AoS3.5

simple communication matrices and their application

U1.AoS3.10

use matrix sums, difference, products and powers and inverses to model and solve practical problems

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