Answer
$cA$ is the matrix formed by multiplying each element in $A$ by $c$.
(example in the step-by-step section)
Work Step by Step
A matrix is a set of numbers, arranged into rows and columns, placed in brackets.
The numbers inside the brackets are called elements of the matrix.
A matrix of order $m\times n$ has $m$ rows and $n$ columns.
If $A$ is a matrix and $c$ is a scalar, then $cA$ is the matrix formed by multiplying each element in $A$ by $c$.
$cA$ is a matrix with the same order as $A$.
Example
$A= \left[\begin{array}{ll}
1 & 2\\
3 & 4\\
5 & 6
\end{array}\right],\quad c=2$
$cA=2A=\left[\begin{array}{ll}
2\cdot 1 & 2\cdot 2\\
2\cdot 3 & 2\cdot 4\\
2\cdot 5 & 2\cdot 6
\end{array}\right]=\left[\begin{array}{ll}
2 & 4\\
6 & 8\\
10 & 12
\end{array}\right]$
