The product of a
matrix A by a
scalar k, written
kA or A
k, is the matrix of the same format as A obtained by multiplying all the elements of A by
k.
Example
Consider the matrix A = [latex]\begin{pmatrix} 3 & 6 & 7\\4 & 8 & 5\end{pmatrix}[/latex].
Then: [latex]4\begin{pmatrix} 3 & 6 & 7\\4 & 8 & 5\end{pmatrix}=\begin{pmatrix} 12 & 24 & 28\\16 & 32 & 20\end{pmatrix}[/latex].
