Matemática discreta Exemplos

$[\begin{array}{c} \frac{1}{2} & \frac{1}{3} & \frac{1}{2} \\ 0 & \frac{1}{3} & \frac{1}{4} \\ \frac{1}{2} & \frac{1}{3} & \frac{1}{4} \end{array}] [\begin{array}{c} \frac{1}{2} \\ \frac{1}{2} \\ 0 \end{array}]$

Step 1

Multiplique cada linha na primeira matriz por cada coluna na segunda matriz.

$[\begin{array}{c} \frac{1}{2} \cdot \frac{1}{2} + \frac{1}{3} \cdot \frac{1}{2} + \frac{1}{2} \cdot 0 \\ 0 (\frac{1}{2}) + \frac{1}{3} \cdot \frac{1}{2} + \frac{1}{4} \cdot 0 \\ \frac{1}{2} \cdot \frac{1}{2} + \frac{1}{3} \cdot \frac{1}{2} + \frac{1}{4} \cdot 0 \end{array}]$

Step 2

Simplifique cada elemento da matriz multiplicando todas as expressões.

$[\begin{array}{c} \frac{5}{12} \\ \frac{1}{6} \\ \frac{5}{12} \end{array}]$