Question:(adsbygoogle = window.adsbygoogle || []).push({});

How do I prove the set of non-invertible matrices is unbounded?

Attempt:

Let A be an element of set of non-invertible matrices.

det(A)=0

det(A)=0 is just the line y=0 if you have det(A) as the y-axis and the set of non-invertible matrices on the x-axis. y=0 is unbounded, so the set of non invertible matrices is unbounded?

**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!

# Set of non-invertible matrices is unbounded

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