Use a graphing calculator to find the inverse of the matrix. Give five decimal places, if necessary.
-$$A = \left[ \begin{array} { l l }
\sqrt { 3 } & - 4 \
\frac { 2 } { 7 } & 0.932
\end{array} \right]$$
A) $\left[ \begin{array} { c c } 0.33803 & 1.45078 \ - 0.10363 & 0.62821 \end{array} \right]$
B)
$\left[\begin{array}{cr}
1.97703 & -8.48511 \
-0.60608 & 3.67416
\end{array}\right]$
C)
$$\left[ \begin{array} { c c }
0.57735 & - 0.25 \
3.5 & 1.07296
\end{array} \right]$$

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.
-$$A = \left[ \begin{array} { l l } 
\sqrt { 3 } & - 4 \
\frac { 2 } { 7 } & 0.932
\end{array} \right]$$
A) $\left[ \begin{array} { c c } 0.33803 & 1.45078 \ - 0.10363 & 0.62821 \end{array} \right]$
B)
$\left[\begin{array}{cr}
1.97703 & -8.48511 \
-0.60608 & 3.67416
\end{array}\right]$
C)
$$\left[ \begin{array} { c c } 
0.57735 & - 0.25 \
3.5 & 1.07296
\end{array} \right]$$

D)
$$\left[ \begin{array} { l l } 
0 & 1 \
1 & 0
\end{array} \right]$$

Quizplus · Accepted Answer

The inverse of a matrix $A$ is calculated 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 $A$. The determinant of matrix $A$ is found by multiplying the elements of the leading diagonal and subtracting the product of the elements of the other diagonal. The adjugate involves swapping certain elements and changing the signs of others. The given matrix and its inverse involve calculations that are most accurately done using a graphing calculator, and option A provides the correct inverse matrix to the given precision.

Use a Graphing Calculator to Find the Inverse of the Matrix