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Linear Algebra and the C Language/a0i7
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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
Code study
The code:
c00a.c ... ... ... ... ... ... ... Octave version