Use a graphing calculator to find the inverse of the matrix. Give five decimal places, if necessary.
-$$A = \left[ \begin{array} { c c c }
1.52 & 5.55 & 4 \
- 0.63 & 7.33 & 3.21 \
8.2 & 0.003 & - 2.8
\end{array} \right]$$

A)
$\left[ \begin{array} { l l l } 0 & 0 & 1 \ 0 & 1 & 0 \ 1 & 0 & 0 \end{array} \right]$
B)
$$\left[ \begin{array} { r r r }
0.15171 & - 0.11491 & 0.08500 \
- 0.18145 & 0.27379 & 0.05467 \
0.44411 & - 0.33622 & - 0.10815
\end{array} \right]$$
C)
$$\left[ \begin{array} { r r r }
0.02137 & - 0.01623 & 0.01192 \
- 0.27464 & 0.34436 & 0.00245 \
0.62294 & - 0.47163 & - 0.00792
\end{array} \right]$$
D)
$$\left[ \begin{array} { r c c }
0.65789 & 0.18018 & 0.25 \
- 1.58730 & 0.13643 & 0.31153 \
0.12195 & 333.33333 & - 0.35714
\end{array} \right]$$

Question

Use a graphing calculator to find the inverse of the matrix. Give five decimal places, if necessary.
-$$A = \left[ \begin{array} { c c c } 
1.52 & 5.55 & 4 \
- 0.63 & 7.33 & 3.21 \
8.2 & 0.003 & - 2.8
\end{array} \right]$$

A)
$\left[ \begin{array} { l l l } 0 & 0 & 1 \ 0 & 1 & 0 \ 1 & 0 & 0 \end{array} \right]$
B)
$$\left[ \begin{array} { r r r } 
0.15171 & - 0.11491 & 0.08500 \
- 0.18145 & 0.27379 & 0.05467 \
0.44411 & - 0.33622 & - 0.10815
\end{array} \right]$$
C)
$$\left[ \begin{array} { r r r } 
0.02137 & - 0.01623 & 0.01192 \
- 0.27464 & 0.34436 & 0.00245 \
0.62294 & - 0.47163 & - 0.00792
\end{array} \right]$$
D)
$$\left[ \begin{array} { r c c } 
0.65789 & 0.18018 & 0.25 \
- 1.58730 & 0.13643 & 0.31153 \
0.12195 & 333.33333 & - 0.35714
\end{array} \right]$$

Quizplus · Accepted Answer

The inverse of a matrix can be calculated using a graphing calculator or appropriate mathematical software. The correct inverse matrix is option B, as it is the result of applying the matrix inversion algorithm to the given matrix $A$. Calculating the inverse involves complex operations that typically result in precise decimal values, as shown in option B.

Use a Graphing Calculator to Find the Inverse of the Matrix