Finite Math Examples

$[\begin{array}{c} \frac{30}{19} & \frac{10}{19} \\ \frac{15}{19} & \frac{24}{19} \end{array}] \cdot [\begin{array}{c} 300 \\ 70 \end{array}]$

Step 1

Multiply each row in the first matrix by each column in the second matrix.

$[\begin{array}{c} \frac{30}{19} \cdot 300 + \frac{10}{19} \cdot 70 \\ \frac{15}{19} \cdot 300 + \frac{24}{19} \cdot 70 \end{array}]$

Step 2

Simplify each element of the matrix by multiplying out all the expressions.

$[\begin{array}{c} \frac{9700}{19} \\ \frac{6180}{19} \end{array}]$