Simplify the Matrix 4c[[0],[6],[0],[3a]]

$4 c [\begin{array}{c} 0 \\ 6 \\ 0 \\ 3 a \end{array}]$

Multiply $4 c$ by each element of the matrix.

$[\begin{array}{c} 4 c \cdot 0 \\ 4 c \cdot 6 \\ 4 c \cdot 0 \\ 4 c \cdot (3 a) \end{array}]$

Simplify each element in the matrix.

Rearrange $4 c \cdot 0$ .

$[\begin{array}{c} 0 \\ 4 c \cdot 6 \\ 4 c \cdot 0 \\ 4 c \cdot (3 a) \end{array}]$

Rearrange $4 c \cdot 6$ .

$[\begin{array}{c} 0 \\ 24 c \\ 4 c \cdot 0 \\ 4 c \cdot (3 a) \end{array}]$

Rearrange $4 c \cdot 0$ .

$[\begin{array}{c} 0 \\ 24 c \\ 0 \\ 4 c \cdot (3 a) \end{array}]$

Rearrange $4 c \cdot (3 a)$ .

$[\begin{array}{c} 0 \\ 24 c \\ 0 \\ 12 c a \end{array}]$