If $$A = \left( {\matrix{ { - 2} & 2 \cr 2 & { - 2} \cr } } \right)$$, then which one of the following is correct?

The matrix A has x rows and x + 5 columns. The matrix B has y rows and 11 $$-$$ y columns. Both AB and BA exist. What are the values of x and y respectively?

If A is a square matrix, then the value of adj $${A^T}$$ $$-$$ (adj $${A)^T}$$ is equal to

The adjoint of the matrix $$A = \left[ {\matrix{ 1 & 0 & 2 \cr 2 & 1 & 0 \cr 0 & 3 & 1 \cr } } \right]$$ is