You might want to take a look at this link:

Linear independence - Wikipedia, the free encyclopedia

It is mentioned in there that:

In linear algebra, a family of vectors islinearly independentif none of them can be written as a linear combination of finitely many other vectors in the collection. A family of vectors which is not linearly independent is calledlinearly dependent. For instance, in the three-dimensional real vector space we have the following example.

Not sure if this helps.