Finite Math Examples

$[\begin{array}{c} 3 & - 2 \\ - 1 & 1 \end{array}] [\begin{array}{c} 22 & 13 & 32 & 26 & 36 & 44 & 45 & 1 \\ 27 & 15 & 41 & 26 & 51 & 57 & 57 & 1 \end{array}]$

Step 1

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

$[\begin{array}{c} 3 \cdot 22 - 2 \cdot 27 & 3 \cdot 13 - 2 \cdot 15 & 3 \cdot 32 - 2 \cdot 41 & 3 \cdot 26 - 2 \cdot 26 & 3 \cdot 36 - 2 \cdot 51 & 3 \cdot 44 - 2 \cdot 57 & 3 \cdot 45 - 2 \cdot 57 & 3 \cdot 1 - 2 \cdot 1 \\ - 1 \cdot 22 + 1 \cdot 27 & - 1 \cdot 13 + 1 \cdot 15 & - 1 \cdot 32 + 1 \cdot 41 & - 1 \cdot 26 + 1 \cdot 26 & - 1 \cdot 36 + 1 \cdot 51 & - 1 \cdot 44 + 1 \cdot 57 & - 1 \cdot 45 + 1 \cdot 57 & - 1 \cdot 1 + 1 \cdot 1 \end{array}]$

Step 2

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

$[\begin{array}{c} 12 & 9 & 14 & 26 & 6 & 18 & 21 & 1 \\ 5 & 2 & 9 & 0 & 15 & 13 & 12 & 0 \end{array}]$