Finite Math Examples

$[\begin{array}{c} 5 & 10 & 15 \\ 20 & 25 & 55 \\ 30 & 35 & 40 \end{array}] [\begin{array}{c} 35 \\ 85 \\ 100 \end{array}]$

Step 1

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

$[\begin{array}{c} 5 \cdot 35 + 10 \cdot 85 + 15 \cdot 100 \\ 20 \cdot 35 + 25 \cdot 85 + 55 \cdot 100 \\ 30 \cdot 35 + 35 \cdot 85 + 40 \cdot 100 \end{array}]$

Step 2

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

$[\begin{array}{c} 2525 \\ 8325 \\ 8025 \end{array}]$