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# MatricesForHomalg, single 17
#
# DO NOT EDIT THIS FILE - EDIT EXAMPLES IN THE SOURCE INSTEAD!
#
# This file has been generated by AutoDoc. It contains examples extracted from
# the package documentation. Each example is preceded by a comment which gives
# the name of a GAPDoc XML file and a line range from which the example were
# taken. Note that the XML file in turn may have been generated by AutoDoc
# from some other input.
#
gap> START_TEST("matricesforhomalg17.tst");
# doc/../gap/HomalgMatrix.gi:3471-3498
gap> zz := HomalgRingOfIntegers( );
Z
gap> Z4 := zz / 4;
Z/( 4 )
gap> Display( Z4 );
<A residue class ring>
gap> d := HomalgDiagonalMatrix( [ 2 .. 4 ], zz );
<An unevaluated diagonal 3 x 3 matrix over an internal ring>
gap> d2 := Z4 * d; ## or d2 := d * Z4;
<A 3 x 3 matrix over a residue class ring>
gap> Display( d2 );
[ [ 2, 0, 0 ],
[ 0, 3, 0 ],
[ 0, 0, 4 ] ]
modulo [ 4 ]
gap> d;
<A diagonal 3 x 3 matrix over an internal ring>
gap> ZeroRows( d );
[ ]
gap> ZeroRows( d2 );
[ 3 ]
gap> d;
<A non-zero diagonal 3 x 3 matrix over an internal ring>
gap> d2;
<A non-zero 3 x 3 matrix over a residue class ring>
#
gap> STOP_TEST("matricesforhomalg17.tst", 1);
[ Dauer der Verarbeitung: 0.30 Sekunden
(vorverarbeitet)
]
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