linear independence

noun

the state of being linearly independent

Meanings

nounlinear independence (uncountable)
  1. uncountablealgebrathe state of being linearly independent
    1 more example

    The linear independence of a set of vectors can be determined by calculating the Gram determinant of those vectors; if their Gram determinant is zero, then they are linearly dependent, and if their Gram determinant is non-zero, then they are linearly independent. Incidentally, the same Gram determinant can be used to calculate the hyper-volume of a hyper-parallelepiped (whose edges which "radiate" from an "origin" vertex are described by the vectors).

Translations

Danish lineær uafhængighed
  • lineær uafhængighedstate of being linearly independent
Portuguese independência linear
  • independência linearstate of being linearly independent
Spanish independencia lineal
  • independencia linealstate of being linearly independent
Cite this entry
APA

linear independence. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/linear%20independence

MLA

“linear independence.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/linear%20independence. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “linear independence,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/linear%20independence.

Source: linear independence on Wiktionary, CC BY-SA 4.0.