Linear Algebra Examples

$[\begin{array}{c} 26.6 & 3100 & 1 \\ 30.2 & 6400 & 1 \\ 162 & 23619 & 1 \end{array}] [\begin{array}{c} 240 \\ 340 \\ 1566 \end{array}]$

Step 1

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

$[\begin{array}{c} 26.6 \cdot 240 + 3100 \cdot 340 + 1 \cdot 1566 \\ 30.2 \cdot 240 + 6400 \cdot 340 + 1 \cdot 1566 \\ 162 \cdot 240 + 23619 \cdot 340 + 1 \cdot 1566 \end{array}]$

Step 2

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

$[\begin{array}{c} 1061950 \\ 2184814 \\ 8070906 \end{array}]$