Finite Math Examples

$[\begin{array}{c} - 4 & 0 \\ 20 & 36 \end{array}] - [\begin{array}{c} - 18 & - 16 \\ - 2 & - 10 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} - 4 + 18 & 0 + 16 \\ 20 + 2 & 36 + 10 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $- 4$ and $18$ .

$[\begin{array}{c} 14 & 0 + 16 \\ 20 + 2 & 36 + 10 \end{array}]$

Step 2.2

Add $0$ and $16$ .

$[\begin{array}{c} 14 & 16 \\ 20 + 2 & 36 + 10 \end{array}]$

Step 2.3

Add $20$ and $2$ .

$[\begin{array}{c} 14 & 16 \\ 22 & 36 + 10 \end{array}]$

Step 2.4

Add $36$ and $10$ .

$[\begin{array}{c} 14 & 16 \\ 22 & 46 \end{array}]$

Step 3

The determinant of a $2 \times 2$ matrix can be found using the formula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$14 \cdot 46 - 22 \cdot 16$

Step 4

Simplify the determinant.

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Step 4.1

Simplify each term.

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Step 4.1.1

Multiply $14$ by $46$ .

$644 - 22 \cdot 16$

Step 4.1.2

Multiply $- 22$ by $16$ .

$644 - 352$

Step 4.2

Subtract $352$ from $644$ .

$292$