Topics
6. Matrices
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AustraliaVIC
VCE 11 General 2023

6.02 Matrix equations and applications

Lesson
Worksheet
Practice

Interactive practice questions

Given that:

    $w$w $x$x    
    $y$y $z$z    
$=$=
    $5$5 $2$2    
    $7$7 $-6$−6    

Find the values of $w$w, $x$x, $y$y and $z$z.

$w$w $=$= $\editable{}$
$x$x $=$= $\editable{}$
$y$y $=$= $\editable{}$
$z$z $=$= $\editable{}$
Medium
< 1min

Given that:

    $8$8 $w$w $-2$−2    
    $7$7 $y$y $9$9    
$=$=
    $z$z $1$1 $x$x    
    $7$7 $4$4 $9$9    
Medium
< 1min
Consider the equation
    $x-5$x−5    
    $-4y$−4y    
$=$=
    $-7$−7    
    $-16$−16    
.
Medium
< 1min
Consider the equation      $-23$−23   $5$5   $=$=     $4x-3$4x−3   $x+5y$x+5y     .
Hard
2min
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Outcomes

U1.AoS3.1

the concept of a matrix and its use to store, display and manipulate information

U1.AoS3.2

types of matrices (row, column, square, zero, identity) and the order of a matrix

U1.AoS3.7

use matrices to store and display information that can be presented as a rectangular array

U1.AoS3.8

identify row, column, square, zero and identity matrices and determine their order

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