 In other words, a sequence of vectors is linearly independent if the only representation of formula_12 as a linear combination of its vectors is the trivial representation in which all the scalars formula_13 are zero.Even more concisely, a sequence of vectors is linear independent if and only if formula_12 can be represented as a linear combination of its vectors in a unique way.The alternate definition, that a sequence of vectors is linearly dependent if and only if some vector in that sequence can be written as a linear combination of the other vectors, is only useful when the sequence contains two or more vectors.