Let `Ma n dN` be two `3xx3` matrices such that `M N=N Mdot` Further, if `M!=N^2a n dM^2=N^4,` then Determinant of `(m^2+M N^2)` is 0 There is a `3xx3` non-zeero matrix `U` such tht `(M^2+M N^2)U` is the zero matrix Determinant of `(M^2+M N^2)geq1` For a `3xx3` matrix `U ,if(M^2+M N^2)U` equal the zero mattix then `U` is the zero matrix

Options

A. determinant of `(M^(2)+MN^(2))` is 0
B. there is a 3 × 3 non-zero matrix U such that `(M^(2)+MN^(2))U` is the zero matrix
C. determinant of `(M^(2)+MN^(2)) ge 1`
D. for a `3xx3` matrix U, if `(M^(2)+MN^(2))U` equals the zero matrix then U is the zero matrix

Answer

A, B