Definition:Linear Algebra
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Definition
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)
Sources
- 1971: Allan Clark: Elements of Abstract Algebra ... (previous) ... (next): Chapter $3$: Field Theory: Vector Spaces, Bases, and Dimensions: $\S 90$