This is part of the QCE Year 12 syllabus for Specialist Maths. In this post, we will cover how to examine the three cases for solutions of systems of equations and the geometric interpretation of a solution of a system of equations with three variables. Now that we know a little bit about gaussian elimination and solving systems of linear equations using matrices, let’s learn there 3 different kinds of solutions a matrix can yield.
The three solutions to a matrix are:
- a unique solution, (they intersect at a common point)
- no solution and (the equivalent of lines or planes not intersecting)
- infinitely many solutionsÂ
Let’s watch some videos on these concepts.
Types of matrix solutions
