If $$A = \displaystyle\left[\begin{array}{ccc} -6 &5 &9 \cr \end{array}\right]$$ $$B = \displaystyle\left[\begin{array}{c} 4 \cr -2 \cr 2 \cr \end{array}\right]$$ $$C = \displaystyle\left[\begin{array}{ccc} 5 &1 &-6 \cr 1 &-5 &0 \cr \end{array}\right]$$
then decide if each of the following operations is defined (answer yes or no)
$A + B$
$A + C$
$B + C$
$AB$
$BA$
$AC$
$CA$
$BC$
$CB$