Matematika Berhingga Contoh

[\begin{array}{c} - \frac{7}{137} & - \frac{10}{137} & \frac{11}{137} \\ - \frac{8}{137} & \frac{75}{274} & - \frac{7}{137} \\ \frac{16}{137} & - \frac{13}{274} & \frac{14}{137} \end{array}] [\begin{array}{c} 17 \\ 0 \\ - 39 \end{array}]

$[\begin{array}{c} - \frac{7}{137} & - \frac{10}{137} & \frac{11}{137} \\ - \frac{8}{137} & \frac{75}{274} & - \frac{7}{137} \\ \frac{16}{137} & - \frac{13}{274} & \frac{14}{137} \end{array}] [\begin{array}{c} 17 \\ 0 \\ - 39 \end{array}]$

Step 1

Kalikan setiap baris pada matriks pertama dengan setiap kolom pada matriks kedua.

[\begin{array}{c} - \frac{7}{137} \cdot 17 - \frac{10}{137} \cdot 0 + \frac{11}{137} \cdot - 39 \\ - \frac{8}{137} \cdot 17 + \frac{75}{274} \cdot 0 - \frac{7}{137} \cdot - 39 \\ \frac{16}{137} \cdot 17 - \frac{13}{274} \cdot 0 + \frac{14}{137} \cdot - 39 \end{array}]

$[\begin{array}{c} - \frac{7}{137} \cdot 17 - \frac{10}{137} \cdot 0 + \frac{11}{137} \cdot - 39 \\ - \frac{8}{137} \cdot 17 + \frac{75}{274} \cdot 0 - \frac{7}{137} \cdot - 39 \\ \frac{16}{137} \cdot 17 - \frac{13}{274} \cdot 0 + \frac{14}{137} \cdot - 39 \end{array}]$

Step 2

Sederhanakan setiap elemen dalam matriks dengan mengalikan semua pernyataannya.

[\begin{array}{c} - 4 \\ 1 \\ - 2 \end{array}]

$[\begin{array}{c} - 4 \\ 1 \\ - 2 \end{array}]$