Transforming a Matrix into a Standard Form
Copyright policy )Transforming a Matrix into a Standard Form
We show that every matrix all of whose entries are in a fixed subgroup of the group of units of a commutative ring with identity is equivalent to a standard form. As a consequence, we improve the proof of Theorem 5 in D. Best, H. Kharaghani, H. Ramp [Disc. Math. 313 (2013), 855--864].
6 pages, minor revision
monomial matrix, permutation matrix, weighing matrix, FOS: Mathematics, Mathematics - Combinatorics, Hadamard matrix, Combinatorics (math.CO), Boolean and Hadamard matrices, Combinatorial aspects of matrices (incidence, Hadamard, etc.)
monomial matrix, permutation matrix, weighing matrix, FOS: Mathematics, Mathematics - Combinatorics, Hadamard matrix, Combinatorics (math.CO), Boolean and Hadamard matrices, Combinatorial aspects of matrices (incidence, Hadamard, etc.)
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