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# Test functions defined in cmat.gi
gap> START_TEST("cmat.tst");
#
gap> NewIdentityMatrix(IsCMatRep, GF(3), 0);
<cmat 0x0 over GF(3,1)>
gap> NewIdentityMatrix(IsCMatRep, GF(3), 3);
<cmat 3x3 over GF(3,1)>
#
gap> NewZeroMatrix(IsCMatRep, GF(3), 0, 0);
<cmat 0x0 over GF(3,1)>
gap> NewZeroMatrix(IsCMatRep, GF(3), 0, 3);
<cmat 0x3 over GF(3,1)>
gap> NewZeroMatrix(IsCMatRep, GF(3), 3, 0);
<cmat 3x0 over GF(3,1)>
gap> NewZeroMatrix(IsCMatRep, GF(3), 3, 2);
<cmat 3x2 over GF(3,1)>
#
gap> m:=CMat(ImmutableMatrix(GF(3),[[1,0],[0,1]]*Z(3)));
<cmat 2x2 over GF(3,1)>
gap> ScalarProductsRows(m,m,1);
Z(3)^0
gap> ScalarProductsRows(m,m,2);
Z(3)
#
gap> x:= X(GF(3));; pol:= x^3 + x^2 + x + 1;;
gap> m3:=CMat(ImmutableMatrix(GF(3), [[Z(3)]]));
<cmat 1x1 over GF(3,1)>
gap> m9:=CMat(ImmutableMatrix(GF(9), [[Z(3)]]));
<cmat 1x1 over GF(3,2)>
gap> c3:= CompanionMatrix(pol, m3);
<cmat 3x3 over GF(3,1)>
gap> Display(c3);
[[..2]
[1.2]
[.12]
]
gap> c9:= CompanionMatrix(pol, m9);
<cmat 3x3 over GF(3,2)>
gap> Display(c9);
[[..2]
[1.2]
[.12]
]
gap> c3:= NewCompanionMatrix(IsCMatRep, pol, GF(3));
<cmat 3x3 over GF(3,1)>
gap> Display(c3);
[[..2]
[1.2]
[.12]
]
gap> c9:= NewCompanionMatrix(IsCMatRep, pol, GF(9));
<cmat 3x3 over GF(3,2)>
gap> Display(c9);
[[..2]
[1.2]
[.12]
]
#
gap> STOP_TEST("cmat.tst", 0);
[ Dauer der Verarbeitung: 0.19 Sekunden
(vorverarbeitet)
]
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