# How do you find the inverse of A=((-3, 6), (2, -4))?

Mar 7, 2016

The matrix doesn't have an inverse function.

#### Explanation:

First thing to do is to take the determinant to check its inversibility, if

$| A | \ne 0$, the matrix is invertible, so we want to see if

$| \left(- 3 , 6\right) , \left(2 , - 4\right) | \ne 0$

Using the determinant formula for a $2 x 2$ matrix we get

$| A | = \left(- 3\right) \left(- 4\right) - 6 \cdot 2 = 12 - 12 = 0$

So the matrix does not have an inverse function.