---
tag: 04KGXJG1A2
kind: concept
name: Homogeneous system of linear equations
msc: [15A06]
sources:
  - url: https://en.wikipedia.org/wiki/System_of_linear_equations
    locator: Homogeneous systems
---

## Summary

A homogeneous system of linear equations is a system in which every constant term is zero.
Such a system always has the zero solution, and its solution set is a vector subspace.