Find the Products AB and BA to Determine Whether B $$A = \left[ \begin{array} { r r } 1 & 2 \\0 & - 6\end{array} \right]$$

Multiple Choice

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $$A = \left[ \begin{array} { r r } 1 & 2 \\0 & - 6\end{array} \right]$$

A)
$$\left[ \begin{array} { r r } 1 & \frac { 1 } { 3 } \\0 & - \frac { 1 } { 6 }\end{array} \right]$$
B)
$\left[ \begin{array} { l } 1 - \frac { 1 } { 3 } \\ 0 - \frac { 1 } { 6 } \end{array} \right]$
C)
$\left[ \begin{array} { r r } 0 & - \frac { 1 } { 6 } \\ 1 & \frac { 1 } { 3 } \end{array} \right]$

D)

$\left[ \begin{array} { r r } - \frac { 1 } { 6 } & \frac { 1 } { 3 } \\ 0 & 1 \end{array} \right]$