Find the Inverse [[8,6],[4,3]]

$[\begin{array}{c} 8 & 6 \\ 4 & 3 \end{array}]$

Step 1

Find the determinant.

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

$8 \cdot 3 - 4 \cdot 6$

Simplify the determinant.

Simplify each term.

Multiply $8$ by $3$ .

$24 - 4 \cdot 6$

Multiply $- 4$ by $6$ .

$24 - 24$

Subtract $24$ from $24$ .

$0$

Step 2

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