Finite Math Examples

[\begin{array}{c} 480 & 760 & 1140 \\ 110 & 540 & 490 \\ 90 & 40 & 55 \end{array}] \cdot [\begin{array}{c} 17860 \\ 9010 \\ 1390 \end{array}]

$[\begin{array}{c} 480 & 760 & 1140 \\ 110 & 540 & 490 \\ 90 & 40 & 55 \end{array}] \cdot [\begin{array}{c} 17860 \\ 9010 \\ 1390 \end{array}]$

Step 1

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

[\begin{array}{c} 480 \cdot 17860 + 760 \cdot 9010 + 1140 \cdot 1390 \\ 110 \cdot 17860 + 540 \cdot 9010 + 490 \cdot 1390 \\ 90 \cdot 17860 + 40 \cdot 9010 + 55 \cdot 1390 \end{array}]

$[\begin{array}{c} 480 \cdot 17860 + 760 \cdot 9010 + 1140 \cdot 1390 \\ 110 \cdot 17860 + 540 \cdot 9010 + 490 \cdot 1390 \\ 90 \cdot 17860 + 40 \cdot 9010 + 55 \cdot 1390 \end{array}]$

Step 2

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

[\begin{array}{c} 17005000 \\ 7511100 \\ 2044250 \end{array}]

$[\begin{array}{c} 17005000 \\ 7511100 \\ 2044250 \end{array}]$