Algebra › Section D · Systems of linear equations › Topic D.6
Solving systems with matrices
A matrix is a system with the variables peeled off — just the numbers in a grid. Row operations then mechanise elimination until the answer simply sits in the last column.
In this topic
- Matrices: elimination organised
- Writing the augmented matrix
- The three row operations
- Row-echelon form and back-substitution
- Worked example: a two-by-two system
- Worked example: three equations, three variables
- Special cases read straight off the matrix
- Why matrices earn their keep
- Common mistakes to avoid
- Key takeaways
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