# Algebra/Linear transformations

< Algebra

**Def.** a "map between vector spaces which respects addition and multiplication"^{[1]} is called a **linear transformation**.

## Linear algebra

edit**Def.** an "algebra over a field"^{[2]} is called a **linear algebra**.

## References

edit- ↑ Language Lover (1 February 2007). "linear transformation, In:
*Wiktionary*". San Francisco, California: Wikimedia Foundation, Inc. Retrieved 2017-01-04.`{{cite web}}`

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has generic name (help) - ↑ AugPi (22 June 2007). "linear algebra, In:
*Wiktionary*". San Francisco, California: Wikimedia Foundation, Inc. Retrieved 2017-01-04.`{{cite web}}`

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has generic name (help)