Question

can u please tell me property of skew symmetric matrix in detremimant

Answer 1

Hence, all odd dimension skew symmetric matrices are singular as their determinants are always zero. ... det(A) = Pf(A)2. This polynomial called the Pfaffian of A and is denoted Pf(A). Thus the determinant of a real skew-symmetric matrix is always non-negative.





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Answer 2

A is any matrix then
In skew symmetric matrix
A' = -A
It has diagonal elements zero but vice versa isn't true.