linear algebra

from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun The branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations.
• noun 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.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun mathematics The branch of mathematics that deals with vectors, vector spaces, linear transformations and systems of linear equations.
• noun linear algebra An algebra over a field.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• noun the part of algebra that deals with the theory of linear equations and linear transformation