The part of algebra that deals with the theory of linear equations and linear transformation WordNet 3.0 & Open English WordNet

Linear algebra is the branch of mathematics concerning linear equations such as: a 1 x 1 + ⋯ + a n x n = b, {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b,} linear maps such as: ↦ a 1 x 1 + ⋯ + a n x n, {\displaystyle \mapsto a_{1}x_{1}+\cdots +a_{n}x_{n},} and their representations in vector spaces and through matrices. Wikipedia

A branch of mathematics Wikipedia Disambiguation

branch of mathematics that studies vector spaces Wikidata

The branch of mathematics that deals with vectors, vector spaces, linear transformations and systems of linear equations. Wiktionary

Branch of mathematics. Wiktionary (translation)