Finite Math Examples

$[\begin{array}{c} 2 & - 6 \\ 9 & 8 \end{array}] X [\begin{array}{c} 1 \\ 9 \end{array}]$

Step 1

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

$X [\begin{array}{c} 2 \cdot 1 - 6 \cdot 9 \\ 9 \cdot 1 + 8 \cdot 9 \end{array}]$

Step 2

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

$X [\begin{array}{c} - 52 \\ 81 \end{array}]$

Step 3

Multiply $X$ by each element of the matrix.

$[\begin{array}{c} X \cdot - 52 \\ X \cdot 81 \end{array}]$

Step 4

Simplify each element in the matrix.

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Move $- 52$ to the left of $X$ .

$[\begin{array}{c} - 52 X \\ X \cdot 81 \end{array}]$

Move $81$ to the left of $X$ .

$[\begin{array}{c} - 52 X \\ 81 X \end{array}]$