Question

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

Answer 1

The matrix doesn't have an inverse function.

Explanation:

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

`|A| != 0`, the matrix is invertible, so we want to see if

`|(-3,6),(2,-4)| != 0`

Using the determinant formula for a `2x2` matrix we get

`|A| = (-3)(-4)-6*2=12-12=0`

So the matrix does not have an inverse function.