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
Our aim is to determine the inverse of the following matrix by using a graphing calculator and round-off to two decimal places.
$A=\begin{bmatrix}
44 & 21& 18&6 \\-2& 10 & 15&5 \\ 21&12& -12&4\\-8&-16&4&9 \end{bmatrix}$
Using a graphing calculator (or computer algebra system), we obtain the inverse matrix below:
$A^{-1}\approx\left[\begin{array}{rrrr}
{0.02}&{-0.04}&{-0.01}&{0.01}\\
{-0.02}&{0.05}&{0.03}&{-0.03}\\
{0.02}&{0.01}&{-0.04}&{0.00}\\
{-0.02}&{0.06}&{0.07}&{0.06}\end{array}\right]$
