linearly dependent
adjective see linear dependence

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

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

  • System of linear equations — In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables. For example,:egin{alignat}{7}3x ; + ; 2y ; ; z ; = ; 1 2x ; ; 2y ; + ; 4z ; = ; 2 x ; + ; frac{1}{2} y ; ; z …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”