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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2001, v.8 no.1, pp.25-32
Kim, Si-Ju
Park, Yong-Kil

Abstract

Let A be a nonnegative matrix of size <TEX>$n \times n$</TEX>. A is said to be nearly convertible if A(i│j) is convertible for all integers i, j<TEX>$\in$</TEX>{1,2,…, n} where A(i│j) denote the submatrix obtained from A by deleting the i-th row and the j-th col-umn. We investigate some properties of nearly convertible matrices and existence of (maximal)nearly convertible matrices of size n is proved for any integers <TEX>$n(\geq 3)$</TEX>.

keywords
pernanent, convertible and nearlyconvertible

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics