Question

Can anyone explain a skew symmetric matrices and its properties..?

Answer 1

http://www.ee.ic.ac.uk/hp/staff/dmb/matrix/special.html
http://www.math.ku.edu/~lerner/LAnotes/Chapter21.pdf
hope they help

Answer 2

In mathematics, and in particular linear algebra, a skew-symmetric (or antisymmetric or antimetric[1]) matrix is a square matrix A whose transpose is also its negative; that is, it satisfies the condition -A = AT. If the entry in the i th row and j th column is aij, i.e. A = (aij) then the skew symmetric condition is aij = −aji. For example, the following matrix is skew-symmetric:
\[\left[\begin{matrix}0 & 2 & -1 \\ -2 & 0 & -4 \\1 & 4 & 0\end{matrix}\right]\]

Answer 3

thanks guys @UditKulka @Azureilai