Find the inverse of A=(2002)A = \begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}A=(2002).
(1001)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}(1001)
(2002)\begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}(2002)
(120012)\begin{pmatrix} \frac{1}{2} & 0 \\ 0 & \frac{1}{2} \end{pmatrix}(210021)
The inverse does not exist