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線性代數,亦叫做向量代數,係數學分支,研究向量空間同埋線性映射相關嘅代數。
線性代數係數學嘅基礎,對幾乎所有嘅數學分支都有用。例如喺幾何入面,一啲抽象嘅概念例如切空間、微分形式、(餘)同調等等本質上都係一啲線性空間嚟。另一方面,泛函分析(數學分析之下嘅一門)亦都可以睇做對唔同嘅函數線性空間嘅研究。
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