Vol. 58, No. 2, 1975

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The universal flip matrix and the generalized faro-shuffle

Robert E. Hartwig and S. Brent Morris

Vol. 58 (1975), No. 2, 445–455
Abstract

The permutation matrix P which flips a left direct product of two matrices into a right direct product is investigated on the basis of the generalized out faro-shuffle. Expressions are derived for the characteristic and minimal polynomials as well as the determinant and trace of P.

Mathematical Subject Classification 2000
Primary: 15A69
Milestones
Received: 11 February 1974
Published: 1 June 1975
Authors
Robert E. Hartwig
S. Brent Morris