Simplify the Matrix 8[[7,-4],[-3,0]]

$8 [\begin{array}{c} 7 & - 4 \\ - 3 & 0 \end{array}]$

Step 1

Substitute in each matrix definition.

$8 [\begin{array}{c} 7 & - 4 \\ - 3 & 0 \end{array}]$

Step 2

Multiply $8$ by each element of the matrix.

$[\begin{array}{c} 8 \cdot 7 & 8 \cdot - 4 \\ 8 \cdot - 3 & 8 \cdot 0 \end{array}]$

Step 3

Simplify each element in the matrix.

Rearrange $8 \cdot 7$ .

$[\begin{array}{c} 56 & 8 \cdot - 4 \\ 8 \cdot - 3 & 8 \cdot 0 \end{array}]$

Rearrange $8 \cdot - 4$ .

$[\begin{array}{c} 56 & - 32 \\ 8 \cdot - 3 & 8 \cdot 0 \end{array}]$

Rearrange $8 \cdot - 3$ .

$[\begin{array}{c} 56 & - 32 \\ - 24 & 8 \cdot 0 \end{array}]$

Rearrange $8 \cdot 0$ .

$[\begin{array}{c} 56 & - 32 \\ - 24 & 0 \end{array}]$