linear combination


Definition of linear combination

: a mathematical entity (such as 4x + 5y + 6z) which is composed of sums and differences of elements (such as variables, matrices, or functions) especially when the coefficients are not all zero

Examples of linear combination in a Sentence

Recent Examples on the Web In a generic lattice, lattice points are generated by taking all possible linear combinations of some set of vectors (arrows pointing in different directions). Quanta Magazine, 8 Sep. 2015 Without an activation function, every neural network, no matter how complex, would be reducible to a linear combination of its inputs. Timothy B. Lee, Ars Technica, 18 Dec. 2018

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'linear combination.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

First Known Use of linear combination

1960, in the meaning defined above

Learn More About linear combination

Time Traveler for linear combination

Time Traveler

The first known use of linear combination was in 1960

See more words from the same year

Dictionary Entries Near linear combination

Linear B

linear combination

linear content

See More Nearby Entries 

Statistics for linear combination

Cite this Entry

“Linear combination.” Dictionary, Merriam-Webster, Accessed 24 Sep. 2022.

Style: MLA
MLACheck Mark Icon ChicagoCheck Mark Icon APACheck Mark Icon Merriam-WebsterCheck Mark Icon

Test Your Vocabulary

The Great British Vocabulary Quiz

  • union jack speech bubble
  • Named after Sir Robert Peel, what are British police called?
Spell It

Can you spell these 10 commonly misspelled words?

Universal Daily Crossword

A daily challenge for crossword fanatics.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!