Algebra Examples

$[\begin{array}{c} 3 & 5 \\ - 1 & 1 \end{array}] \cdot [\begin{array}{c} - 2 & 2 & 3 \\ 3 & 5 & - 2 \end{array}]$

Step 1

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

$[\begin{array}{c} 3 \cdot - 2 + 5 \cdot 3 & 3 \cdot 2 + 5 \cdot 5 & 3 \cdot 3 + 5 \cdot - 2 \\ - - 2 + 1 \cdot 3 & - 1 \cdot 2 + 1 \cdot 5 & - 1 \cdot 3 + 1 \cdot - 2 \end{array}]$

Step 2

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

$[\begin{array}{c} 9 & 31 & - 1 \\ 5 & 3 & - 5 \end{array}]$