Find the Products AB and BA to Determine Whether B $A = \left[ \begin{array} { r r } - 3 & - 1 \\ 2 & - 4 \end{array} \right]$

Multiple Choice

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $A = \left[ \begin{array} { r r } - 3 & - 1 \\ 2 & - 4 \end{array} \right]$

A) No inverse
B)
$\left[ \begin{array} { l l } 3 & - 1 \\ 2 & - 4 \end{array} \right]$
C)
$\left[ \begin{array} { r r } - 3 & 1 \\ 2 & - 4 \end{array} \right]$


D)
$\left[\begin{array}{cc}-\frac{1}{3} & -1 \\\frac{1}{2} & \frac{1}{4}\end{array}\right]$