Simplify the Matrix [[-2],[-6]]-3[[-6],[0]]

$[\begin{array}{c} - 2 \\ - 6 \end{array}] - 3 [\begin{array}{c} - 6 \\ 0 \end{array}]$

Multiply $- 3$ by each element of the matrix.

$[\begin{array}{c} - 2 \\ - 6 \end{array}] + [\begin{array}{c} - 3 \cdot - 6 \\ - 3 \cdot 0 \end{array}]$

Simplify each element in the matrix.

Rearrange $- 3 \cdot - 6$ .

$[\begin{array}{c} - 2 \\ - 6 \end{array}] + [\begin{array}{c} 18 \\ - 3 \cdot 0 \end{array}]$

Rearrange $- 3 \cdot 0$ .

$[\begin{array}{c} - 2 \\ - 6 \end{array}] + [\begin{array}{c} 18 \\ 0 \end{array}]$

Add the corresponding elements.

$[\begin{array}{c} - 2 + 18 \\ - 6 + 0 \end{array}]$

Simplify each element of the matrix $[\begin{array}{c} - 2 + 18 \\ - 6 + 0 \end{array}]$ .

Simplify $- 2 + 18$ .

$[\begin{array}{c} 16 \\ - 6 + 0 \end{array}]$

Simplify $- 6 + 0$ .

$[\begin{array}{c} 16 \\ - 6 \end{array}]$