Matrices II

Further Mathematics: Units 3 and 4

Introduction

Recap of past learning

RECAP: What are simultaneous equations

RECAP: Multiplying a matrix by its inverse

RECAP: Turning simultaneous equations into matrix form

Not all equations have crossing points

Inconsistent, dependent or one solutions

Example

Example 2

Not all matrices are 2x2!

How is this used in the real world?

Summary

This video is part of the Year 12 Further Maths course and the Matrices module. Having explained in a previous video how to find the inverse of a matrix, I now look at how we can use the inverse to solve simultaneous equations. I recap what it means to solve equations and what it means to have one solution, no solutions and infinite numbers of solutions. There are lots of worked examples which are explained in an easy to understand way.

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Video tags

vce maths
year 12 maths
grade 12 maths
vce further maths
matrices module
further maths matrices
further maths units 3 and 4
using matrices to solve simultaneous equations
using matrices to solve systems of 3 equations
using matrices to solve linear equations
Applications of the inverse matrix