Geodesic
A Note on a Matrix Result of Ryser
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 149-150

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this note is to give a short proof of a generalisation of a theorem of Ryser, Theorem 10.2.3 of [1], concerning matrices that occur in the theory of symmetric block designs.The two main results of matrix theory required in the proof given below are: (1) If B, C are square matrices such that BC = zI where z is a non-zero complex number, then CB = zI (2) A matrix S which is both symmetric (i.e. S' = S) and skew-symmetric (i.e. S' = —S)is zero. 
Murphy, I. S. A Note on a Matrix Result of Ryser. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 149-150. doi: 10.4153/CMB-1975-029-7
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[1] 1. Hall, M., Combinatorial Theory (Blaisdell), 1967. Google Scholar

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