This paper presents some theorems for real matrices which should be of use and interest to anyone working with quadratic forms in normally distributed variables because of the following equivalences: ...

The cumulants of a quadratic form in n independent standardized variables are identified with the traces of the powers of the matrix of the form. This identification leads to some very simple proofs ...

About this article Cite this article M., G. Quadratic Forms and their Classification by Means of Invariant Factors The Axioms of Projective Geometry The Axioms of Descriptive Geometry .