411 REFERENCE · Wikibooks
Linear Algebra and the C Language/a0gn
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
__NOTOC__
Symmetric matrix:
In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose... Wikipedia: Symmetric matrix
The sum of two symmetric matrices is symmetric.
c00a.c
The product of two symmetric matrices is symmetric if and only if the matrices commute.
.
For all n, A**n is symmetric if A is symmetric.
c00b.c
If the inverse of a symmetric matrix exists, it is symmetric.
c00c.c
The rank of a symmetric matrix is equal to the number of non-zero eigenvalues.
c00d.c
Let A be a square matrix: (A+AT) is symmetric, (A-AT) is a skew matrix
c00e.c
Let A be a square matrix: A = (A+AT)/2 + (A-AT)/2
c00f.c
Code study
The code
c00a.c ... ... .. ... ... ... Octave version