Linear Algebra
Basic

Scalar Multiplication

Multiply every entry of a matrix by a scalar.

Formula

(cA)ij=c aij(cA)_{ij} = c\,a_{ij}

Variables

cScalar
AMatrix

Example

3·[[1,2],[3,4]] = [[3,6],[9,12]].

Did You Know?

Multiplying a matrix by a scalar simply scales every entry — stretching the whole transformation.

matrixscalar