Finite Math Examples

$A = [\begin{array}{c} 0 & 19 \\ 0 & 1 \end{array}]$

Step 1

Find the determinant.

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Step 1.1

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

$0 \cdot 1 + 0 \cdot 19$

Step 1.2

Simplify the determinant.

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Step 1.2.1

Simplify each term.

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Step 1.2.1.1

Multiply $0$ by $1$ .

$0 + 0 \cdot 19$

Step 1.2.1.2

Multiply $0$ by $19$ .

$0 + 0$

Step 1.2.2

Add $0$ and $0$ .

$0$

Step 2

There is no inverse because the determinant is $0$ .