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Type II Matrices of Size Five
Authors:Kazumasa Nomura
Institution:(1) College of Liberal Arts and Sciences, Tokyo Medical and Dental University, Kohnodai, Ichikawa 272, Japan. e-mail: nomura@tmd.ac.jp, JP
Abstract:. A type II matrix is an n×n matrix W with non-zero entries W i,j which satisfies , i, j=1, …, n. Two type II matrices W, W′ are said to be equivalent if W′=P 1Δ1 WΔ2 P 2 holds for some permutation matrices P 1, P 2 and for some non-singular diagonal matrices Δ1, Δ2. In the present paper, it is shown that there are up to equivalence exactly three type II matrices in M 5(C). Received: August 15, 1996 Revised: May 16, 1997
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