Multiplication with a scalar

← Back: Matrices

Overview: Matrices

Next: The transpose of a matrix →

A matrix is multiplied with a scalar by multiplying all the components with the scalar. The result is again a matrix:

$c \cdot \mathbf{A}=c\cdot\left[ \begin{array}{ccc} a_{11} & a_{12} & a_{13}\\ a_{21} & a_{22} & a_{23}\\ a_{31} & a_{32} & a_{33} \end{array}\right]= \left[\begin{array}{ccc} c\cdot a_{11} & c\cdot a_{12} & c\cdot a_{13}\\ c\cdot a_{21} & c\cdot a_{22} & c\cdot a_{23}\\ c\cdot a_{31} & c\cdot a_{32} & c\cdot a_{33} \end{array}\right]$