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A The Basic Matrix Operations

These are the operations used to solve one-sided (in)homogeneous linear systems \(XA=B\) resp. \(AX=B\).

A.1 Main

• BasisOfRowModule (5.5-28)

• BasisOfColumnModule (5.5-29)

• DecideZeroRows (5.5-30)

• DecideZeroColumns (5.5-31)

• SyzygiesGeneratorsOfRows (5.5-32)

• SyzygiesGeneratorsOfColumns (5.5-33)

A.2 Effective

• BasisOfRowsCoeff (5.5-40)

• BasisOfColumnsCoeff (5.5-41)

• DecideZeroRowsEffectively (5.5-42)

• DecideZeroColumnsEffectively (5.5-43)

A.3 Relative

• SyzygiesGeneratorsOfRows (5.5-34)

• SyzygiesGeneratorsOfColumns (5.5-35)

A.4 Reduced

• ReducedBasisOfRowModule (5.5-36)

• ReducedBasisOfColumnModule (5.5-37)

• ReducedSyzygiesGeneratorsOfRows (5.5-38)

• ReducedSyzygiesGeneratorsOfColumns (5.5-39)

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