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A The Basic Matrix Operations
A.1 Main
A.2 Effective
A.3 Relative
A.4 Reduced

### 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` (5.5-17)

- `BasisOfColumnModule` (5.5-18)

- `DecideZeroRows` (5.5-19)

- `DecideZeroColumns` (5.5-20)

- `SyzygiesGeneratorsOfRows` (5.5-21)

- `SyzygiesGeneratorsOfColumns` (5.5-22)

#### A.2 Effective

- `BasisOfRowsCoeff` (5.5-29)

- `BasisOfColumnsCoeff` (5.5-30)

- `DecideZeroRowsEffectively` (5.5-31)

- `DecideZeroColumnsEffectively` (5.5-32)

#### A.3 Relative

- `SyzygiesGeneratorsOfRows` (5.5-23)

- `SyzygiesGeneratorsOfColumns` (5.5-24)

#### A.4 Reduced

- `ReducedBasisOfRowModule` (5.5-25)

- `ReducedBasisOfColumnModule` (5.5-26)

- `ReducedSyzygiesGeneratorsOfRows` (5.5-27)

- `ReducedSyzygiesGeneratorsOfColumns` (5.5-28)

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