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- W2045164367 abstract "The n × n matrices A and X over a field F are called almost commutative if AX - XA = I . This equation cannot hold if the characteristic of F is either zero or greater than n . In the case where the characteristic of F divides n , certain pairs A and X , exist. It is the purpose of this paper not only to prove the existence of such pairs, but to construct (in terms of arbitrary parameters) the most general matrix X for a given matrix A . The methods use the rational canonical form so as to facilitate constructability." @default.
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- W2045164367 date "1994-06-08" @default.
- W2045164367 modified "2023-09-27" @default.
- W2045164367 title "Almost commutative matrices" @default.
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- W2045164367 doi "https://doi.org/10.1098/rspa.1994.0083" @default.
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