Definition:Linear Algebra

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Linear algebra is the branch of algebra which studies vector spaces and linear transformations between them.

Also see

  • Results about linear algebra can be found here.

Linguistic Note

The word algebra originates from the Arabic word al-ğabr, meaning balancing, reduction or restoration.

It originates from the name of a book, circa 825 C.E., by Muhammad ibn Musa al-Khwarizmi:

Al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala (The Compendious Book on Calculation by Completion and Balancing)