[:linear basis:] • A linear basis is a set of vectors $V$ in a linear space which are linearly independent and whose span is $V$ • • Fun basis facts, which are true in generic fields, not just $\mathbb R^n$ • Every linearly independent set of vectors can have vectors added to it to form a basis. • Every set of vectors which spans a linear space can have vectors removed to form a basis. • Bases all have the same cardinality Referenced by: