Answer
$A^{-1}=\begin{bmatrix}
{0.01}&{0.04}&{0.00}&{0.03}\\
{0.02}&{-0.02}&{0.01}&{0.01}\\
{-0.04}&{0.02}&{0.04}&{0.06}\\
{0.05}&{-0.02}&{0.00}&{-0.09}\end{bmatrix}$
Work Step by Step
We are asked to compute the inverse of the following matrix by using a calculator or computer.
$A=\begin{bmatrix}
16 & 22 & -3 & 5\\
21 & -17 & 4 & 8 \\ 2&8& 27&20 \\ 5 &15 & -3 & -10
\end{bmatrix}$
The inverse of the matrix $A$ can be calculated by using the Desmos.com Matrix Calculator and rounding to two decimal places as shown below:
$A^{-1}=\begin{bmatrix}
{0.01}&{0.04}&{0.00}&{0.03}\\
{0.02}&{-0.02}&{0.01}&{0.01}\\
{-0.04}&{0.02}&{0.04}&{0.06}\\
{0.05}&{-0.02}&{0.00}&{-0.09}\end{bmatrix}$
