Use a graphing calcula tor to find the inverse of the matrix. Give five decimal places, if necessary.
-$$A = \left[ \begin{array} { c c }
\frac { 4 } { 3 } & 52 \
\sqrt { 21 } & 8.754
\end{array} \right]$$
A)
$$\left[ \begin{array} { r r }
- 0.70513 & 0.41667 \
0.36859 & - 0.10417
\end{array} \right]$$

B)

$$\left[ \begin{array} { c c }
0.75 & 0.01923 \
0.21822 & 0.11423
\end{array} \right]$$
C)
$$\left[ \begin{array} { l l }
1 & 0 \
0 & 1
\end{array} \right]$$

D)

$$\left[ \begin{array} { r r }
- 0.03863 & 0.22946 \
0.02022 & - 0.00588
\end{array} \right]$$

Question

Use a graphing calcula tor to find the inverse of the matrix. Give five decimal places, if necessary.
-$$A = \left[ \begin{array} { c c } 
\frac { 4 } { 3 } & 52 \
\sqrt { 21 } & 8.754
\end{array} \right]$$
A)
$$\left[ \begin{array} { r r } 
- 0.70513 & 0.41667 \
0.36859 & - 0.10417
\end{array} \right]$$

B)

$$\left[ \begin{array} { c c } 
0.75 & 0.01923 \
0.21822 & 0.11423
\end{array} \right]$$
C)
$$\left[ \begin{array} { l l } 
1 & 0 \
0 & 1
\end{array} \right]$$

D)

$$\left[ \begin{array} { r r } 
- 0.03863 & 0.22946 \
0.02022 & - 0.00588
\end{array} \right]$$

Quizplus · Accepted Answer

The inverse of a 2x2 matrix $\left[ \begin{array} { c c } a & b \ c & d \end{array} \right]$ is given by $\frac{1}{ad-bc}\left[ \begin{array} { c c } d & -b \ -c & a \end{array} \right]$. Calculating this for matrix A, we find that option D is the correct inverse.

Use a Graphing Calcula Tor to Find the Inverse of the Matrix