Algebra Examples

$5 [\begin{array}{c} 2 & 3 & 4 \\ 9 & - 1 & - 7 \\ 11 & 5 & - 3 \end{array}]$

Step 1

Multiply $5$ by each element of the matrix.

$[\begin{array}{c} 5 \cdot 2 & 5 \cdot 3 & 5 \cdot 4 \\ 5 \cdot 9 & 5 \cdot - 1 & 5 \cdot - 7 \\ 5 \cdot 11 & 5 \cdot 5 & 5 \cdot - 3 \end{array}]$

Step 2

Simplify each element in the matrix.

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Step 2.1

Multiply $5$ by $2$ .

$[\begin{array}{c} 10 & 5 \cdot 3 & 5 \cdot 4 \\ 5 \cdot 9 & 5 \cdot - 1 & 5 \cdot - 7 \\ 5 \cdot 11 & 5 \cdot 5 & 5 \cdot - 3 \end{array}]$

Step 2.2

Multiply $5$ by $3$ .

$[\begin{array}{c} 10 & 15 & 5 \cdot 4 \\ 5 \cdot 9 & 5 \cdot - 1 & 5 \cdot - 7 \\ 5 \cdot 11 & 5 \cdot 5 & 5 \cdot - 3 \end{array}]$

Step 2.3

Multiply $5$ by $4$ .

$[\begin{array}{c} 10 & 15 & 20 \\ 5 \cdot 9 & 5 \cdot - 1 & 5 \cdot - 7 \\ 5 \cdot 11 & 5 \cdot 5 & 5 \cdot - 3 \end{array}]$

Step 2.4

Multiply $5$ by $9$ .

$[\begin{array}{c} 10 & 15 & 20 \\ 45 & 5 \cdot - 1 & 5 \cdot - 7 \\ 5 \cdot 11 & 5 \cdot 5 & 5 \cdot - 3 \end{array}]$

Step 2.5

Multiply $5$ by $- 1$ .

$[\begin{array}{c} 10 & 15 & 20 \\ 45 & - 5 & 5 \cdot - 7 \\ 5 \cdot 11 & 5 \cdot 5 & 5 \cdot - 3 \end{array}]$

Step 2.6

Multiply $5$ by $- 7$ .

$[\begin{array}{c} 10 & 15 & 20 \\ 45 & - 5 & - 35 \\ 5 \cdot 11 & 5 \cdot 5 & 5 \cdot - 3 \end{array}]$

Step 2.7

Multiply $5$ by $11$ .

$[\begin{array}{c} 10 & 15 & 20 \\ 45 & - 5 & - 35 \\ 55 & 5 \cdot 5 & 5 \cdot - 3 \end{array}]$

Step 2.8

Multiply $5$ by $5$ .

$[\begin{array}{c} 10 & 15 & 20 \\ 45 & - 5 & - 35 \\ 55 & 25 & 5 \cdot - 3 \end{array}]$

Step 2.9

Multiply $5$ by $- 3$ .

$[\begin{array}{c} 10 & 15 & 20 \\ 45 & - 5 & - 35 \\ 55 & 25 & - 15 \end{array}]$