linear independence

American

noun

Mathematics.

(in linear algebra) the property of a set of elements in a vector space in which none of the vectors can be written as a linear combination of the others.

Other Word Forms

linearly independent

adjective

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

In this chapter, we usually test sets of only two functions for linear independence, which allows us to simplify this definition.

From Textbooks • Mar. 30, 2016

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023