---

Matrix scaling

The operation, defined in terms of vector scaling,

\[\begin{equation*}
  c A
  = c
  \begin{pmatrix}
    \vphantom{\bigg(}
    \vec{a}_1 & \vec{a}_2 & \cdots
  \end{pmatrix}
  =
  \begin{pmatrix}
    \vphantom{\bigg(}
    c \vec{a}_1 & c \vec{a}_2 & \cdots
  \end{pmatrix},
\end{equation*}
\]

where	\(c\)	is the scalar factor,
	\(A\)	is the matrix factor, and
	\(cA\)	is the resulting product.

• Synonyms
• Properties