In mathematics,
A set of vectors are linearly independent if and only if their null space
is comprised exclusively
by the origin.
The only solution, is 0. Nothing.
There is no real way to describe them, other than, "because,"
And that's as good of anything I suppose.
Because to be linearly independent is a Godhood in of itself;
You cannot be defined in terms of the other vectors in your set,
Bystanders to your mathematically perfect
freedom.