Find the Products AB and BA to Determine Whether B $$A = \left[ \begin{array} { r r } 4 & - 2 \\- 6 & 2\end{array} \right]$$

Multiple Choice

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $$A = \left[ \begin{array} { r r } 4 & - 2 \\- 6 & 2\end{array} \right]$$

A)
$$\left[ \begin{array} { l } - \frac { 1 } { 2 } - \frac { 1 } { 2 } \\- \frac { 3 } { 2 } - 1\end{array} \right]$$
B)
$$\left[ \begin{array} { r r } - \frac { 1 } { 2 } & \frac { 1 } { 2 } \\\frac { 3 } { 2 } & - 1\end{array} \right]$$
C)
$$\left[ \begin{array} { l } - \frac { 3 } { 2 } - 1 \\- \frac { 1 } { 2 } - \frac { 1 } { 2 }\end{array} \right]$$
D)

$$\left[ \begin{array} { c } - 1 - \frac { 1 } { 2 } \\- \frac { 3 } { 2 } - \frac { 1 } { 2 }\end{array} \right]$$