Question

the inverse of matrix 2x2 [3 2]
[3 5]

Answer 1

help

Answer 2

if the determinant exist then the inverse matrix exist
but the inverse of a 2 by 2 matrix where the determinant exist is
\[\left[\begin{matrix}a & b \\ c & d\end{matrix}\right]^{-1}=\frac{1}{ad-bc} \left[\begin{matrix}d & -b \\ -c & a\end{matrix}\right]\]