Finite Math Examples

$[\begin{array}{c} 1 & 2 & 7 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}] [\begin{array}{c} x \\ y \\ z \end{array}]$

Step 1

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

$[\begin{array}{c} 1 x + 2 y + 7 z \\ 4 x + 5 y + 6 z \\ 7 x + 8 y + 9 z \end{array}]$

Step 2

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

$[\begin{array}{c} x + 2 y + 7 z \\ 4 x + 5 y + 6 z \\ 7 x + 8 y + 9 z \end{array}]$