Answer
$A^{-1}\approx\left[\begin{array}{rrrr}
{0.02}&{-0.04}&{-0.01}&{0.01}\\
{-0.02}&{0.05}&{0.03}&{-0.03}\\
{0.02}&{0.01}&{-0.04}&{0.00}\\
{-0.02}&{0.06}&{0.07}&{0.06}\end{array}\right]$
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,
$A^{-1}\approx\left[\begin{array}{rrrr}
{0.02}&{-0.04}&{-0.01}&{0.01}\\
{-0.02}&{0.05}&{0.03}&{-0.03}\\
{0.02}&{0.01}&{-0.04}&{0.00}\\
{-0.02}&{0.06}&{0.07}&{0.06}\end{array}\right]$
