scalar multiplication

noun

maths an operation used in the definition of a vector space in which the product of a scalar and a vector is a vector, the operation is distributive over the addition of both scalars and vectors, and is associative with multiplication of scalars

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A linear transformation must preserve addition and scalar multiplication: if you add something to the input, the output should change proportionally, and if you multiply the input by some particular quantity, the output should be multiplied by that quantity.

From Scientific American

scalariform scalar product

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