Skew-symmetric matrices

A skew-symmetric matrix is a square matrix whose transpose equals its negative... Wikipedia: Skew-symmetric matrix

A skew-symmetric matrix is a square matrix whose transpose equals its negative: -A = AT

• c00a.c

If the number of rows is odd the determinant is zero:

• c00b.c

If the number of rows is even, the determinant is positive and we can calculate the inverse:

• c00c.c

The eigenvalues ​​of an anti-symmetric matrix are imaginary:

• c00d.c

If A is an anti-symmetric matrix, then ID + A is invertible:

• c00e.c

A**2 is a negative semidefinite symmetric matrix:

• c00f.c

The code:

• c00a.c ... ... ... ... ... ... ... Octave version