Applications of the inverse matrix: solving simultaneous linear equations
Matrices II
Further Mathematics: Units 3 and 4
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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
Description

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.
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