Let V be a set of vectors. An element v, belonging to V, is said to linearly dependent if it can be expressed as a linear combination of the remaining vectors in V.

Ie. Let V={(2,1,1), (0,1,1), (1,0,0)}
v=(2,1,1) is linearly dependent upon (0,1,1) and (1,0,0) because (2,1,1) = (0,1,1) + 2*(1,0,0)