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Balanced matrices. (arXiv:1810.07542v1 [math.RA])
来源于:arXiv
In this paper we introduce a particular class of matrices. We study the
concept of a matrix to be balanced. We study some properties of this concept in
the context of matrix operations. We examine the behaviour of various matrix
statistics in this setting. The crux will be to understanding the determinants
and the eigen-values of balanced matrices. It turns out that there does exist a
direct communication among the leading entry, the trace, determinants and,
hence, the eigen-values of these matrices of order $2\times 2$. These matrices
have an interesting property that enables us to predict their quadratic forms,
even without knowing their entries but given their spectrum. 查看全文>>