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Section 18.2 Terminology and notation

linearly dependent set of vectors

a set of vectors in which there is at least one example of a vector that can be expressed as a linear combination of other vectors in the set; we also consider the set of vectors consisting of only the zero vector as linearly dependent

linearly independent set of vectors

a set of vectors that is not linearly dependent; that is, a set of vectors in which no vector can be expressed as a linear combination of other vectors in the set