Linear Algebra Examples

$[\begin{array}{c} 3 & 0 & 2 \\ 2 & - 1 & 3 \\ 7 & 1 & 3 \end{array}] [\begin{array}{c} u \\ v \\ w \end{array}]$

Step 1

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

$[\begin{array}{c} 3 u + 0 v + 2 w \\ 2 u - v + 3 w \\ 7 u + 1 v + 3 w \end{array}]$

Step 2

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

$[\begin{array}{c} 3 u + 2 w \\ 2 u - v + 3 w \\ 7 u + v + 3 w \end{array}]$