Let ${\bf S}$ be a set of $m$ vectors in ${\mathbb R}^n$ with $m>n$.

Select the best statement.

A. The set ${\bf S}$ is linearly independent, as long as it does not include the zero vector.
B. The set ${\bf S}$ could be either linearly dependent or linearly independent, depending on the case.
C. The set ${\bf S}$ is linearly independent.
D. The set ${\bf S}$ is linearly dependent.
E. The set ${\bf S}$ is linearly independent, as long as no vector in ${\bf S}$ is a scalar multiple of another vector in the set.
F. none of the above