Let M and N be two $$3 \times 3$$ matrices such that MN = NM. Further, if $$M \neq N^2$$ and $$M^2 = N^4$$, then

A

determinant of $$(M^2 + MN^2)$$ is 0

B

there is a $$3 \times 3$$ non-zero matrix UU such that $$(M^2 + MN^2)$$ U is the zero matrix

C

determinant of $$(M^2 + MN^2) \geq 1$$

D

for a $$3 \times 3$$ matrix UU, if $$(M^2 + MN^2)$$U equals the zero matrix then U is the zero matrix