Linear Algebra and the C Language/a0i7
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
If the number of rows is odd the determinant is zero:
If the number of rows is even, the determinant is positive and we can calculate the inverse:
The eigenvalues of an anti-symmetric matrix are imaginary:
If A is an anti-symmetric matrix, then ID + A is invertible:
A**2 is a negative semidefinite symmetric matrix:
Code study
The code: