Algebra Examples

$[\begin{array}{c} 5 & 4 \\ 1 & - 2 \end{array}] \cdot [\begin{array}{c} 7 & 3 \\ - 2 & 0 \end{array}]$

Step 1

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

$[\begin{array}{c} 5 \cdot 7 + 4 \cdot - 2 & 5 \cdot 3 + 4 \cdot 0 \\ 1 \cdot 7 - 2 \cdot - 2 & 1 \cdot 3 - 2 \cdot 0 \end{array}]$

Step 2

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

$[\begin{array}{c} 27 & 15 \\ 11 & 3 \end{array}]$