To text whether n vectors in R^n are linearly independent, you put those vectors in a matrix and take its determinant.(adsbygoogle = window.adsbygoogle || []).push({});

How can this be generalized beyond vectors in R^n-- say to the space of matrices in R^(mxn)?

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

Dismiss Notice

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!

# Linear Independce Outise R^n

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