scalar multiplication

"Scalar multiplication" is a fundamental operation in linear algebra, crucial for various mathematical and scientific applications.

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Definition

(technical, academic)The process of multiplying each element of a vector by a single number, resulting in a new vector of the same dimensions.

In scalar multiplication, multiplying the vector (2, 3) by 4 results in the vector (8, 12).

(technical, academic)The operation of multiplying each entry of a matrix by a single number, producing a new matrix of the same dimensions.

Applying scalar multiplication to the matrix [[1, 2], [3, 4]] by 3 results in the matrix [[3, 6], [9, 12]].

Terms that have similar or relatively close meanings to "scalar multiplication":