###### Definition 3.2.3

A set of vectors \(\vvec_1,\vvec_2,\ldots,\vvec_n\) in \(\real^m\) is called a *basis* for \(\real^m\) if the set of vectors spans \(\real^m\) and is linearly independent.

A set of vectors \(\vvec_1,\vvec_2,\ldots,\vvec_n\) in \(\real^m\) is called a *basis* for \(\real^m\) if the set of vectors spans \(\real^m\) and is linearly independent.