Simplify the Matrix -5[[5,6,-4],[4,-2,-1]]

$- 5 [\begin{array}{c} 5 & 6 & - 4 \\ 4 & - 2 & - 1 \end{array}]$

Substitute in each matrix definition.

$- 5 [\begin{array}{c} 5 & 6 & - 4 \\ 4 & - 2 & - 1 \end{array}]$

Multiply $- 5$ by each element of the matrix.

$[\begin{array}{c} - 5 \cdot 5 & - 5 \cdot 6 & - 5 \cdot - 4 \\ - 5 \cdot 4 & - 5 \cdot - 2 & - 5 \cdot - 1 \end{array}]$

Simplify each element in the matrix.

Rearrange $- 5 \cdot 5$ .

$[\begin{array}{c} - 25 & - 5 \cdot 6 & - 5 \cdot - 4 \\ - 5 \cdot 4 & - 5 \cdot - 2 & - 5 \cdot - 1 \end{array}]$

Rearrange $- 5 \cdot 6$ .

$[\begin{array}{c} - 25 & - 30 & - 5 \cdot - 4 \\ - 5 \cdot 4 & - 5 \cdot - 2 & - 5 \cdot - 1 \end{array}]$

Rearrange $- 5 \cdot - 4$ .

$[\begin{array}{c} - 25 & - 30 & 20 \\ - 5 \cdot 4 & - 5 \cdot - 2 & - 5 \cdot - 1 \end{array}]$

Rearrange $- 5 \cdot 4$ .

$[\begin{array}{c} - 25 & - 30 & 20 \\ - 20 & - 5 \cdot - 2 & - 5 \cdot - 1 \end{array}]$

Rearrange $- 5 \cdot - 2$ .

$[\begin{array}{c} - 25 & - 30 & 20 \\ - 20 & 10 & - 5 \cdot - 1 \end{array}]$

Rearrange $- 5 \cdot - 1$ .

$[\begin{array}{c} - 25 & - 30 & 20 \\ - 20 & 10 & 5 \end{array}]$