Precalculus Examples

$[\begin{array}{c} - 1.1 & 0.6 \\ - 7.2 & - 0.5 \end{array}]$

Step 1

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

$- 1.1 \cdot - 0.5 - (- 7.2 \cdot 0.6)$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $- 1.1$ by $- 0.5$ .

$0.55 - (- 7.2 \cdot 0.6)$

Step 2.1.2

Multiply $- (- 7.2 \cdot 0.6)$ .

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Step 2.1.2.1

Multiply $- 7.2$ by $0.6$ .

$0.55 - - 4.32$

Step 2.1.2.2

Multiply $- 1$ by $- 4.32$ .

$0.55 + 4.32$

Step 2.2

Add $0.55$ and $4.32$ .

$4.87$