Linear Algebra Examples

$[\begin{array}{c} 4 & 8 \end{array}] \cdot (2 [\begin{array}{c} 1 & 5 & 7 \end{array}])$

Step 1

Multiply $2$ by each element of the matrix.

$[\begin{array}{c} 4 & 8 \end{array}] \cdot [\begin{array}{c} 2 \cdot 1 & 2 \cdot 5 & 2 \cdot 7 \end{array}]$

Step 2

Simplify each element in the matrix.

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Step 2.1

Multiply $2$ by $1$ .

$[\begin{array}{c} 4 & 8 \end{array}] \cdot [\begin{array}{c} 2 & 2 \cdot 5 & 2 \cdot 7 \end{array}]$

Step 2.2

Multiply $2$ by $5$ .

$[\begin{array}{c} 4 & 8 \end{array}] \cdot [\begin{array}{c} 2 & 10 & 2 \cdot 7 \end{array}]$

Step 2.3

Multiply $2$ by $7$ .

$[\begin{array}{c} 4 & 8 \end{array}] \cdot [\begin{array}{c} 2 & 10 & 14 \end{array}]$

$[\begin{array}{c} 4 & 8 \end{array}] [\begin{array}{c} 2 & 10 & 14 \end{array}]$