Simplify the Matrix -2[[1,5,-3],[0,2,4],[7,-2,0]]

$- 2 [\begin{array}{c} 1 & 5 & - 3 \\ 0 & 2 & 4 \\ 7 & - 2 & 0 \end{array}]$

Step 1

Multiply $- 2$ by each element of the matrix.

$[\begin{array}{c} - 2 \cdot 1 & - 2 \cdot 5 & - 2 \cdot - 3 \\ - 2 \cdot 0 & - 2 \cdot 2 & - 2 \cdot 4 \\ - 2 \cdot 7 & - 2 \cdot - 2 & - 2 \cdot 0 \end{array}]$

Step 2

Simplify each element in the matrix.

Multiply $- 2$ by $1$ .

$[\begin{array}{c} - 2 & - 2 \cdot 5 & - 2 \cdot - 3 \\ - 2 \cdot 0 & - 2 \cdot 2 & - 2 \cdot 4 \\ - 2 \cdot 7 & - 2 \cdot - 2 & - 2 \cdot 0 \end{array}]$

Multiply $- 2$ by $5$ .

$[\begin{array}{c} - 2 & - 10 & - 2 \cdot - 3 \\ - 2 \cdot 0 & - 2 \cdot 2 & - 2 \cdot 4 \\ - 2 \cdot 7 & - 2 \cdot - 2 & - 2 \cdot 0 \end{array}]$

Multiply $- 2$ by $- 3$ .

$[\begin{array}{c} - 2 & - 10 & 6 \\ - 2 \cdot 0 & - 2 \cdot 2 & - 2 \cdot 4 \\ - 2 \cdot 7 & - 2 \cdot - 2 & - 2 \cdot 0 \end{array}]$

Multiply $- 2$ by $0$ .

$[\begin{array}{c} - 2 & - 10 & 6 \\ 0 & - 2 \cdot 2 & - 2 \cdot 4 \\ - 2 \cdot 7 & - 2 \cdot - 2 & - 2 \cdot 0 \end{array}]$

Multiply $- 2$ by $2$ .

$[\begin{array}{c} - 2 & - 10 & 6 \\ 0 & - 4 & - 2 \cdot 4 \\ - 2 \cdot 7 & - 2 \cdot - 2 & - 2 \cdot 0 \end{array}]$

Multiply $- 2$ by $4$ .

$[\begin{array}{c} - 2 & - 10 & 6 \\ 0 & - 4 & - 8 \\ - 2 \cdot 7 & - 2 \cdot - 2 & - 2 \cdot 0 \end{array}]$

Multiply $- 2$ by $7$ .

$[\begin{array}{c} - 2 & - 10 & 6 \\ 0 & - 4 & - 8 \\ - 14 & - 2 \cdot - 2 & - 2 \cdot 0 \end{array}]$

Multiply $- 2$ by $- 2$ .

$[\begin{array}{c} - 2 & - 10 & 6 \\ 0 & - 4 & - 8 \\ - 14 & 4 & - 2 \cdot 0 \end{array}]$

Multiply $- 2$ by $0$ .

$[\begin{array}{c} - 2 & - 10 & 6 \\ 0 & - 4 & - 8 \\ - 14 & 4 & 0 \end{array}]$

Simplify the Matrix -2[[1,5,-3],[0,2,4],[7,-2,0]]

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