## Algebra## The Basics of Algebra |

## How else is the word algebra used? |

Algebra may be defined as the subjects of arithmetic and abstract algebra, but there are other meanings. These algebras involve vectors and matrices, the algebra of real numbers, complex numbers, and quaternions (an operator or factor that changes one vector into another). There are also those exotic algebras “invented” by mathematicians—usually named after the inventor—with the majority not truly understood except, perhaps, by their creators.