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On matrices with a
restricted number of diagonal values
J. E. H. Elliott |
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Vol. 35 (1970), No. 1, 79–82
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Abstract |
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This note confirms the following conjecture of Marcus: Let A = (aij) be an n × n matrix of strictly positive entries with at most (n − 1) distinct diagonal values, then A is singular. We also show that there exist matrices with strictly positive entries with n diagonal values which are nonsingular. |
Mathematical Subject Classification
Primary: 15.05
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Milestones
Received: 25 July 1968
Published: 1 October 1970
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Authors |
| J. E. H. Elliott | |
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