Answer
$A^{-1}=\left[\begin{array}{rrrr}
{0.01}&{0.04}&{0.00}&{0.03}\\
{0.02}&{-0.02}&{0.01}&{0.01}\\
{-0.04}&{0.02}&{0.04}&{0.06}\\
{0.05}&{-0.02}&{0.00}&{-0.09}\end{array}\right]$
Work Step by Step
Using desmos.com/matrix
select "New matrix", define the dimensions, and enter the matrix entries...
(see screenshot)
Rounding to two decimal places,
$A^{-1}=\left[\begin{array}{rrrr}
{0.01}&{0.04}&{0.00}&{0.03}\\
{0.02}&{-0.02}&{0.01}&{0.01}\\
{-0.04}&{0.02}&{0.04}&{0.06}\\
{0.05}&{-0.02}&{0.00}&{-0.09}\end{array}\right]$