# Linear Algebra Definition

noun

The algebra of vectors and matrices, as distinct from the ordinary algebra of real numbers and the abstract algebra of unspecified entities.

Webster's New World

A mathematical ring and vector space with scalars from an associated field, the multiplication of which is of the form

*(a**A**) (b**B**) = (ab) (**AB**),*where*a*and*b*are scalars and**and***A***are vectors.***B*American Heritage

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