Algebra Examples

$[\begin{array}{c} 1 & 3 & - 1 \\ 2 & 0 & 5 \end{array}] [\begin{array}{c} 3 & 0 \\ - 1 & 1 \\ 0 & 5 \end{array}]$

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

$[\begin{array}{c} 1 \cdot 3 + 3 \cdot - 1 - 1 \cdot 0 & 1 \cdot 0 + 3 \cdot 1 - 1 \cdot 5 \\ 2 \cdot 3 + 0 \cdot - 1 + 5 \cdot 0 & 2 \cdot 0 + 0 \cdot 1 + 5 \cdot 5 \end{array}]$

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

$[\begin{array}{c} 0 & - 2 \\ 6 & 25 \end{array}]$

The matrix is in the most simplified form.

$[\begin{array}{c} 0 & - 2 \\ 6 & 25 \end{array}]$