For `3xx3`
matrices `Ma n dN ,`
which of the following statement (s) is (are) NOT correct ?
`N^T M N`
is symmetricor skew-symmetric,
according as `m`
is symmetric or skew-symmetric.
`M N-N M`
is skew-symmetric for all
symmetric matrices `Ma n dNdot`
`M N`
is symmetric for all symmetric
matrices `M a n dN`
`(a d jM)(a d jN)=a d j(M N)`
for all invertible matrices `Ma n dNdot`
A. `N^(T)MN` is symmetric or skew symmetric, according as M is symmetric or skew symmetric.
B. MN-NM is skew symmetric for all symmetric matrices M and N.
C. MN is symmetric for all symmetric matrices M and N.
D. (Adj M) (Adj N)=Adj(MN) for all invertible matrices M and N.
