Linear Algebra › Section A · Linear equations in linear algebra › Topic A.5
Solution sets of linear systems
When a system has infinitely many solutions, listing them is impossible, but describing them is easy. Every solution set is a point, line, plane or higher flat piece, and vector notation captures it in one short formula.
In this topic
- Describing infinitely many solutions
- Homogeneous systems
- More unknowns than equations
- Worked example: a line of solutions
- Parametric vector form
- Non-homogeneous systems
- Worked example: a shifted line
- A routine for any consistent system
- Common mistakes to avoid
- Key takeaways
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