Simplify the Matrix -9[[7,-4],[-3,0]]

$- 9 [\begin{array}{c} 7 & - 4 \\ - 3 & 0 \end{array}]$

Step 1

Substitute in each matrix definition.

$- 9 [\begin{array}{c} 7 & - 4 \\ - 3 & 0 \end{array}]$

Step 2

Multiply $- 9$ by each element of the matrix.

$[\begin{array}{c} - 9 \cdot 7 & - 9 \cdot - 4 \\ - 9 \cdot - 3 & - 9 \cdot 0 \end{array}]$

Step 3

Simplify each element in the matrix.

Rearrange $- 9 \cdot 7$ .

$[\begin{array}{c} - 63 & - 9 \cdot - 4 \\ - 9 \cdot - 3 & - 9 \cdot 0 \end{array}]$

Rearrange $- 9 \cdot - 4$ .

$[\begin{array}{c} - 63 & 36 \\ - 9 \cdot - 3 & - 9 \cdot 0 \end{array}]$

Rearrange $- 9 \cdot - 3$ .

$[\begin{array}{c} - 63 & 36 \\ 27 & - 9 \cdot 0 \end{array}]$

Rearrange $- 9 \cdot 0$ .

$[\begin{array}{c} - 63 & 36 \\ 27 & 0 \end{array}]$