Question

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

Answer 1

`A=((6,4),(3,2))` does not have an inverse.

Explanation:

For a `2xx2` matrix: `M=((a,b),(c,d))`
the inverse, if it exists, is
`color(white)("XXX")M^(-1)=((d/delta,-b/delta),(-c/delta,a/delta))`
where `delta` is the determinant of `M`

Note that in this case with `A=((6,4),(3,2))`
`color(white)("XXX")delta_A=(6xx2)-(3xx4)=0`
and since division by zero is undefined,
`A^(-1)` does not exist.