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: