If A is any square matrix, then AA’ is a
Skew- symmetric matrix
Symmetric matrix
Hatmitian Matrix
Skew-harmitian Matrix
Let P = AA’
P’ = (AA’)’ = (A’)’ A’ = AA’ = P
So the matrix is symmetric
If A is a symmetric matrix, then matrix M'AM is
[MP PET 1990]
If A is a square matrix then A−¯¯¯¯¯¯¯AT is a skew hermitian matrix.