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

### C The Basic Matrix Operations

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

#### C.1 Main

- `BasisOfRowModule` (6.5-17)

- `BasisOfColumnModule` (6.5-18)

- `DecideZeroRows` (6.5-19)

- `DecideZeroColumns` (6.5-20)

- `SyzygiesGeneratorsOfRows` (6.5-21)

- `SyzygiesGeneratorsOfColumns` (6.5-22)

#### C.2 Effective

- `BasisOfRowsCoeff` (6.5-29)

- `BasisOfColumnsCoeff` (6.5-30)

- `DecideZeroRowsEffectively` (6.5-31)

- `DecideZeroColumnsEffectively` (6.5-32)

#### C.3 Relative

- `SyzygiesGeneratorsOfRows` (6.5-23)

- `SyzygiesGeneratorsOfColumns` (6.5-24)

#### C.4 Reduced

- `ReducedBasisOfRowModule` (6.5-25)

- `ReducedBasisOfColumnModule` (6.5-26)

- `ReducedSyzygiesGeneratorsOfRows` (6.5-27)

- `ReducedSyzygiesGeneratorsOfColumns` (6.5-28)

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