Applications of the inverse matrix: solving simultaneous linear equations
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Chapters
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
Applications of the inverse matrix: solving simultaneous linear equations
Matrices II
Year 12
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.
Published: May 26, 2020
Length: 21 mins and 41 seconds
Lesson notes

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Exam resources

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2020 Paper 2 Matrices module
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
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