the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations.
2.
any of several algebraic systems, esp. a ring in which elements can be multiplied by real or complex numbers (linear algebra) as well as by other elements of the ring.
3.
any special system of notation adapted to the study of a special system of relationship: algebra of classes.
Origin: 1535–45; < ML < Ar al-jabr lit., restoration
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.
algebra (āl'jə-brə) Pronunciation Key
A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or quantities and express general relationships that hold for all members of a specified set.
linear algebra
The branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, and linear transformations.
[al-juh-bruh] 