\( \DeclareMathOperator{cosec}{cosec} \)

Sign In | Starter Of The Day | Tablesmaster | Fun Maths | Maths Map | Topics | More

International Baccalaureate Mathematics

Number and Algebra

Syllabus Content

Solutions of systems of linear equations (a maximum of three equations in three unknowns), including cases where there is a unique solution, an infinite number of solutions or no solution.

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.


Official Guidance, clarification and syllabus links:

These systems should be solved using both algebraic and technological methods, for example row reduction or matrices.

Systems which have no solution(s) are inconsistent.

Finding a general solution for a system with an infinite number of solutions.

The augmented matrix can be used to determine the number of solutions:

$$\left[\begin{array}{ccc|c}a & b & c & d\\0 & e & f & g\\0 & 0 & h & i\end{array}\right]$$

If \( h \neq 0\) there is a unique solution.

If \( h = 0 \text{ and } i \neq 0 \) there is no solution

If \( h = 0 \text{ and } i = 0 \) there are infinitely many solutions (let \(z=t\)).

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.


©1997-2024 WWW.TRANSUM.ORG