Precalculus Examples

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

Step 1

Multiply $3$ by each element of the matrix.

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

Step 2

Simplify each element in the matrix.

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Step 2.1

Multiply $3$ by $- 3$ .

$[\begin{array}{c} - 9 & 3 \cdot 2 & 3 \cdot 0 \\ 3 \cdot 1 & 3 \cdot - 1 & 3 \cdot - 2 \end{array}]$

Step 2.2

Multiply $3$ by $2$ .

$[\begin{array}{c} - 9 & 6 & 3 \cdot 0 \\ 3 \cdot 1 & 3 \cdot - 1 & 3 \cdot - 2 \end{array}]$

Step 2.3

Multiply $3$ by $0$ .

$[\begin{array}{c} - 9 & 6 & 0 \\ 3 \cdot 1 & 3 \cdot - 1 & 3 \cdot - 2 \end{array}]$

Step 2.4

Multiply $3$ by $1$ .

$[\begin{array}{c} - 9 & 6 & 0 \\ 3 & 3 \cdot - 1 & 3 \cdot - 2 \end{array}]$

Step 2.5

Multiply $3$ by $- 1$ .

$[\begin{array}{c} - 9 & 6 & 0 \\ 3 & - 3 & 3 \cdot - 2 \end{array}]$

Step 2.6

Multiply $3$ by $- 2$ .

$[\begin{array}{c} - 9 & 6 & 0 \\ 3 & - 3 & - 6 \end{array}]$