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- W2014145003 abstract "For an n × n Boolean matrix R , let A R ={ n × n matrices A over a field F such that if r ij =0 then a ij =0}. We show that a collection A R 〈1〉 ,…, A R 〈 k 〉 generates all n × n matrices over F if and only if the matrix J all of whose entries are 1 can be expressed as a Boolean product of Hall matrices from the set { R 〈1〉,…, R 〈 k 〉}. We show that J can be expressed as a product of Hall matrices R 〈 i 〉 if and only if ΣR 〈 i 〉⊗ R 〈 i 〉 is primitive." @default.
- W2014145003 created "2016-06-24" @default.
- W2014145003 creator A5065846825 @default.
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- W2014145003 date "1981-04-01" @default.
- W2014145003 modified "2023-09-27" @default.
- W2014145003 title "Generating all linear transformations" @default.
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- W2014145003 doi "https://doi.org/10.1016/0024-3795(81)90170-1" @default.
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