Simplify the Matrix 4[[1,3],[2,6]]+[[0,4],[-1,6]]

$4 [\begin{array}{c} 1 & 3 \\ 2 & 6 \end{array}] + [\begin{array}{c} 0 & 4 \\ - 1 & 6 \end{array}]$

Multiply $4$ by each element of the matrix.

$[\begin{array}{c} 4 \cdot 1 & 4 \cdot 3 \\ 4 \cdot 2 & 4 \cdot 6 \end{array}] + [\begin{array}{c} 0 & 4 \\ - 1 & 6 \end{array}]$

Simplify each element in the matrix.

Rearrange $4 \cdot 1$ .

$[\begin{array}{c} 4 & 4 \cdot 3 \\ 4 \cdot 2 & 4 \cdot 6 \end{array}] + [\begin{array}{c} 0 & 4 \\ - 1 & 6 \end{array}]$

Rearrange $4 \cdot 3$ .

$[\begin{array}{c} 4 & 12 \\ 4 \cdot 2 & 4 \cdot 6 \end{array}] + [\begin{array}{c} 0 & 4 \\ - 1 & 6 \end{array}]$

Rearrange $4 \cdot 2$ .

$[\begin{array}{c} 4 & 12 \\ 8 & 4 \cdot 6 \end{array}] + [\begin{array}{c} 0 & 4 \\ - 1 & 6 \end{array}]$

Rearrange $4 \cdot 6$ .

$[\begin{array}{c} 4 & 12 \\ 8 & 24 \end{array}] + [\begin{array}{c} 0 & 4 \\ - 1 & 6 \end{array}]$

Add the corresponding elements.

$[\begin{array}{c} 4 + 0 & 12 + 4 \\ 8 - 1 & 24 + 6 \end{array}]$

Simplify each element of the matrix $[\begin{array}{c} 4 + 0 & 12 + 4 \\ 8 - 1 & 24 + 6 \end{array}]$ .

Simplify $4 + 0$ .

$[\begin{array}{c} 4 & 12 + 4 \\ 8 - 1 & 24 + 6 \end{array}]$

Simplify $12 + 4$ .

$[\begin{array}{c} 4 & 16 \\ 8 - 1 & 24 + 6 \end{array}]$

Simplify $8 - 1$ .

$[\begin{array}{c} 4 & 16 \\ 7 & 24 + 6 \end{array}]$

Simplify $24 + 6$ .

$[\begin{array}{c} 4 & 16 \\ 7 & 30 \end{array}]$