# linear independence

linear independencenoun

**MLA Style**

"linear independence." YourDictionary, n.d. Web. 17 August 2018. <http://www.yourdictionary.com/linear-independence>.

**APA Style**

linear independence. (n.d.). Retrieved August 17th, 2018, from http://www.yourdictionary.com/linear-independence

(*uncountable*)

- (algebra) the state of being linearly independent
*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).*

**MLA Style**

"linear independence." YourDictionary, n.d. Web. 17 August 2018. <http://www.yourdictionary.com/linear-independence>.

**APA Style**

linear independence. (n.d.). Retrieved August 17th, 2018, from http://www.yourdictionary.com/linear-independence