Topics
1. Linear Equations and Functions
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AustraliaVIC
VCE 11 Methods 2023

1.10 Linear systems in 3 and 4 unknowns

Lesson
Worksheet
Practice

Interactive practice questions

Use a graphing calculator to find the inverse of the matrix

$A$A$=$=
    $\frac{4}{3}$43​ $0.7$0.7    
    $21$21 $\sqrt{2}$√2    
 

Round all entries to six decimal places.

$A^{-1}$A−1 $=$=
    $\editable{}$ $\editable{}$    
    $\editable{}$ $\editable{}$    
Easy
3min

Use a graphing calculator to find the inverse of the matrix

$A$A$=$=
    $\sqrt{5}$√5 $0.5$0.5    
    $-13$−13 $\frac{1}{2}$12​    
 
Easy
2min

Use a graphing calculator to find the inverse of the matrix

$A$A$=$=
    $\frac{2}{3}$23​ $\frac{4}{3}$43​ $-\frac{5}{3}$−53​    
    $\frac{5}{3}$53​ $\frac{10}{3}$103​ $-\frac{14}{3}$−143​    
    $-\frac{5}{3}$−53​ $-\frac{17}{6}$−176​ $\frac{25}{6}$256​    
.
Easy
2min

Use a graphing calculator to find the inverse of the matrix

$A$A$=$=
    $1.5$1.5 $0.6$0.6 $0.59$0.59    
    $0.86$0.86 $1.36$1.36 $0.62$0.62    
    $0.55$0.55 $0.46$0.46 $1.3$1.3    
.
Medium
5min
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Outcomes

U1.AoS2.8

solution of a set of simultaneous linear equations (geometric interpretation only required for two variables) and equations of the form f(x) = g(x) numerically, graphically and algebraically.

U1.AoS2.19

set up and solve systems of simultaneous linear equations involving up to four unknowns, including by hand for a system of two equations in two unknowns

U1.AoS3.1

average and instantaneous rates of change in a variety of practical contexts and informal treatment of instantaneous rate of change as a limiting case of the average rate of change

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