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@jemoka / Jemoka Knowledge Base / wiki/concepts/scalar_multiplication.md
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--- title: "scalar multiplication" type: concept related: [Scalar Multiplication] source: https://www.jemoka.com/posts/kbhscalar_multiplication/ confidence: high status: active --- Scalar multiplication is the process of multiplying a scalar to an element in a set. constituents A set \(V\) Some \(\lambda \in \mathbb{F}\) Each \(v \in V\) requirements scalar multiplication is defined by a function that results in \(\lambda v \in V\) (maps back to the space!) to each \(\lambda \in \mathbb{F}\) and each \(v \in V\). additional information See also scalar multiplication in \(\mathbb{F}^n\).