When is $AA^T$ a strictly positive definite matrix?

99 Views Asked by At

Suppose that $A$ is a $m$ by $n$ matrix, where $m>n$. When I use numerical calculation, sometimes $AA^T$ is strictly positive definite, the other times $AA^T$ is singular. Are there any sufficient conditions for $A$ to satisfy so that $AA^T$ is a strictly positive definite matrix?