[SOLVED] Symmetric Matrix Factorizations
Class notes and textbook skim this topic. Most internet resources are too complex for my current level of knowledge.
Need a little advice on how to approach the following problems.
What I know: Symmetric Matrix <=> A^T = A
The following statements produce a symmetric matrix assuming A^T = A, and B^T = B:
A^2 - B^2 True
(A - B)(A + B) False
Did I get these all correct?
Therefore the product of two symmetric matrices isn't necessarily symmetric.
What would be some conditions where they would be symmetric?