linearly dependent

New Collegiate Dictionary. 2001.

### Look at other dictionaries:

• linearly dependent — adjective (Of a set of vectors or ring elements) which has a nontrivial linear combination which is zero …   Wiktionary

• linearly dependent — adjective see linear dependence …   Useful english dictionary

• Linear independence — In linear algebra, a family of vectors is linearly independent if 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 called linearly… …   Wikipedia

• Overdetermined system — For the philosophical term, see overdetermination. In mathematics, a system of linear equations is considered overdetermined if there are more equations than unknowns.[1] The terminology can be described in terms of the concept of counting… …   Wikipedia

• Wronskian — In mathematics, the Wronskian is a function named after the Polish mathematician Józef Hoene Wroński. It is especially important in the study of differential equations, where it can be used to determine whether a set of solutions is linearly… …   Wikipedia

• Ordinary least squares — This article is about the statistical properties of unweighted linear regression analysis. For more general regression analysis, see regression analysis. For linear regression on a single variable, see simple linear regression. For the… …   Wikipedia

• Basis (linear algebra) — Basis vector redirects here. For basis vector in the context of crystals, see crystal structure. For a more general concept in physics, see frame of reference. In linear algebra, a basis is a set of linearly independent vectors that, in a linear… …   Wikipedia

• Frame of a vector space — This article is about a generalization of bases to linearly dependent sets of vectors. For a linearly independent set of vectors, see k frame. In linear algebra, a frame of a vector space V with an inner product can be seen as a generalization of …   Wikipedia