Algebra Examples

$[\begin{array}{c} 5 & 9 \\ 3 & 6 \end{array}] [\begin{array}{c} 2 & - 3 \\ - 1 & x \end{array}]$

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

$[\begin{array}{c} 5 \cdot 2 + 9 \cdot - 1 & 5 \cdot - 3 + 9 \cdot x \\ 3 \cdot 2 + 6 \cdot - 1 & 3 \cdot - 3 + 6 \cdot x \end{array}]$

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

$[\begin{array}{c} 1 & - 15 + 9 x \\ 0 & - 9 + 6 x \end{array}]$

Simplify each element in the matrix.

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Rearrange $- 15 + 9 x$ .

$[\begin{array}{c} 1 & 9 x - 15 \\ 0 & - 9 + 6 x \end{array}]$

Rearrange $- 9 + 6 x$ .

$[\begin{array}{c} 1 & 9 x - 15 \\ 0 & 6 x - 9 \end{array}]$