Simplify the Matrix 5[[6,1,2,-6]]-[[1,6,-6,6]]

$5 [\begin{array}{c} 6 & 1 & 2 & - 6 \end{array}] - [\begin{array}{c} 1 & 6 & - 6 & 6 \end{array}]$

Multiply $5$ by each element of the matrix.

$[\begin{array}{c} 5 \cdot 6 & 5 \cdot 1 & 5 \cdot 2 & 5 \cdot - 6 \end{array}] - [\begin{array}{c} 1 & 6 & - 6 & 6 \end{array}]$

Simplify each element in the matrix.

Rearrange $5 \cdot 6$ .

$[\begin{array}{c} 30 & 5 \cdot 1 & 5 \cdot 2 & 5 \cdot - 6 \end{array}] - [\begin{array}{c} 1 & 6 & - 6 & 6 \end{array}]$

Rearrange $5 \cdot 1$ .

$[\begin{array}{c} 30 & 5 & 5 \cdot 2 & 5 \cdot - 6 \end{array}] - [\begin{array}{c} 1 & 6 & - 6 & 6 \end{array}]$

Rearrange $5 \cdot 2$ .

$[\begin{array}{c} 30 & 5 & 10 & 5 \cdot - 6 \end{array}] - [\begin{array}{c} 1 & 6 & - 6 & 6 \end{array}]$

Rearrange $5 \cdot - 6$ .

$[\begin{array}{c} 30 & 5 & 10 & - 30 \end{array}] - [\begin{array}{c} 1 & 6 & - 6 & 6 \end{array}]$

Subtract the corresponding elements.

$[\begin{array}{c} 30 - 1 & 5 - 6 & 10 - (- 6) & - 30 - 6 \end{array}]$

Simplify each element of the matrix $[\begin{array}{c} 30 - 1 & 5 - 6 & 10 - (- 6) & - 30 - 6 \end{array}]$ .

Simplify $30 - 1$ .

$[\begin{array}{c} 29 & 5 - 6 & 10 - (- 6) & - 30 - 6 \end{array}]$

Simplify $5 - 6$ .

$[\begin{array}{c} 29 & - 1 & 10 - (- 6) & - 30 - 6 \end{array}]$

Simplify $10 - (- 6)$ .

$[\begin{array}{c} 29 & - 1 & 16 & - 30 - 6 \end{array}]$

Simplify $- 30 - 6$ .

$[\begin{array}{c} 29 & - 1 & 16 & - 36 \end{array}]$