Could someone explain the following theorem to me:(adsbygoogle = window.adsbygoogle || []).push({});

Given a homogeneous system of n linear equations in m unknowns if m>n (i.e. there are more unknowns than equations) there will be infinitely many solutions to the system.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Infinite solutions to homogeneous system?

**Physics Forums | Science Articles, Homework Help, Discussion**