(A) If each element in a row is a constant multiplier of corresponding element of another row of a determinant, then the value of the determinant is always non-zero.

(B) If each element on one side of the principal diagonal of a determinant is zero, then the value of the determinants the product of the diagonal elements.

(C) The value of determinant of skew symmetric matrix of odd order is always non-zero. 

(D) If A is non-singular matrix of order three, then $adj A=|A|^2$