Solving systems of linear equations using Gaussian elimination

What this note covers

1. From equations to matrices: setting up the augmented matrix
2. Elementary row operations and the mechanics of row reduction
3. Unique solutions: when the system has exactly one answer
4. Infinite solutions: dependent systems and parameter expressions
5. No solutions: inconsistent systems and contradictory rows
6. Geometric interpretation: planes in three-dimensional space
7. Technology use in QCAA assessments: graphics-calculator (no-CAS) matrix workflows

7 sections · 12 key terms & formulas · 6 common mistakes