the algebra of vectors and matrices, as distinct from the ordinary algebra of real numbers and the abstract algebra of unspecified entities
See linear algebra in American Heritage Dictionary 4
noun
The branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations.
A mathematical ring and vector space with scalars from an associated field, the multiplication of which is of the form (aA) (bB) = (ab) (AB), where a and b are scalars and A and B are vectors.