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

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

A)
$\left[ \begin{array} { r r r } 1 & 0 & 0 \\ 1 & 1 & 0 \\ - 2 & - 1 & 1 \end{array} \right]$
B)

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