Summary of equivalence, similarity and congruence of matrices, core-nilpotent decompositions, Hartwig-Spindelböck factorization, and generalized inverses with applied contexts.

Overview of Schmidt orthogonalization, elementary transformation, and Givens rotation approaches to QR decomposition.

MathJax = { tex: { inlineMath: [['$', '$']] } }; This article is also available in 简体中文, 繁體中文. This article mainly studies some properties and inequalities of the traces of antisymmetric matrices. An antisymmetric…