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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.


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