Find the Inverse [[0,0],[2,1]]

$[\begin{array}{c} 0 & 0 \\ 2 & 1 \end{array}]$

Step 1

Find the determinant.

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

$0 \cdot 1 - 2 \cdot 0$

Simplify the determinant.

Simplify each term.

Multiply $0$ by $1$ .

$0 - 2 \cdot 0$

Multiply $- 2$ by $0$ .

$0 + 0$

Add $0$ and $0$ .

$0$

Step 2

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