Let $MandN$ be two $3\times 3$ matrices such that $MN=NM\dot{}$ Further, if $M\ne N^{2}and{M}^2=N^4,$ then Determinant of $\left(M^2+M{N}^2\right)$ is 0 There is a $3\times 3$ non-zeero matrix $U$ such tht $\left(M^2+M{N}^2\right)U$ is the zero matrix Determinant of $\left(M^2+M{N}^2\right)\ge 1$For a $3\times 3$ matrix $U,\text{if}\left(M^2+M{N}^2\right)U$ equal the zero mattix then $U$ is the zero matrix

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