Algebra Examples

$[\begin{array}{c} 2 & 3 \\ 2 & 4 \end{array}] \cdot 2$

Step 1

Move $2$ to the left of $[\begin{array}{c} 2 & 3 \\ 2 & 4 \end{array}]$ .

$2 \cdot [\begin{array}{c} 2 & 3 \\ 2 & 4 \end{array}]$

Step 2

Multiply $2$ by each element of the matrix.

$[\begin{array}{c} 2 \cdot 2 & 2 \cdot 3 \\ 2 \cdot 2 & 2 \cdot 4 \end{array}]$

Step 3

Simplify each element in the matrix.

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Step 3.1

Multiply $2$ by $2$ .

$[\begin{array}{c} 4 & 2 \cdot 3 \\ 2 \cdot 2 & 2 \cdot 4 \end{array}]$

Step 3.2

Multiply $2$ by $3$ .

$[\begin{array}{c} 4 & 6 \\ 2 \cdot 2 & 2 \cdot 4 \end{array}]$

Step 3.3

Multiply $2$ by $2$ .

$[\begin{array}{c} 4 & 6 \\ 4 & 2 \cdot 4 \end{array}]$

Step 3.4

Multiply $2$ by $4$ .

$[\begin{array}{c} 4 & 6 \\ 4 & 8 \end{array}]$