Use a graphing calculator to find the inverse of the matrix. Give five decimal places, if necessary.
-$$A = \left[ \begin{array} { c c }
\sqrt { 3 } & - 4 \
\frac { 2 } { 7 } & 0.932
\end{array} \right]$$

A) $\left[ \begin{array} { c c } 0.33803 & 1.45078 \ - 0.10363 & 0.62821 \end{array} \right]$
B)
$\left[ \begin{array} { c c } 0.57735 & - 0.25 \ 3.5 & 1.07296 \end{array} \right]$
C)
$$\left[ \begin{array} { l r }
1.97703 & - 8.48511 \
- 0.60608 & 3.67416
\end{array} \right]$$
D)
$$\left[ \begin{array} { l l }
0 & 1 \
1 & 0
\end{array} \right]$$

Question

Use a graphing calculator to find the inverse of the matrix. Give five decimal places, if necessary.
-$$A = \left[ \begin{array} { c c } 
\sqrt { 3 } & - 4 \
\frac { 2 } { 7 } & 0.932
\end{array} \right]$$

A) $\left[ \begin{array} { c c } 0.33803 & 1.45078 \ - 0.10363 & 0.62821 \end{array} \right]$
B)
$\left[ \begin{array} { c c } 0.57735 & - 0.25 \ 3.5 & 1.07296 \end{array} \right]$
C)
$$\left[ \begin{array} { l r } 
1.97703 & - 8.48511 \
- 0.60608 & 3.67416
\end{array} \right]$$
D)
$$\left[ \begin{array} { l l } 
0 & 1 \
1 & 0
\end{array} \right]$$

Quizplus · Accepted Answer

The inverse of a matrix $A$ is found using the formula $A^{-1} = \frac{1}{\text{det}(A)} \text{adj}(A)$, where $\text{det}(A)$ is the determinant of $A$ and $\text{adj}(A)$ is the adjugate of $A$. Calculating this manually or using a graphing calculator with the given matrix $A$ will yield the matrix in choice A as the correct inverse, rounded to five decimal places.

Use a Graphing Calculator to Find the Inverse of the Matrix