LinearEliminationCategory

Exports

• denominators:	(M,Z $\to$ Z,Z,ARR Z) $\to$ ARR R	Maximal denominators
  dependence:	(Generator V,Z) $\to$ (M,Z $\to$ Z,Z,R)	First linear dependence
  deter:	(M,Z $\to$ Z,Z,Z) $\to$ R	Determinant
  determinant:	M $\to$ R	Determinant
  determinant!:	M $\to$ R	Determinant
  extendedRowEchelon:	M $\to$ (M,Z $\to$ Z,Z,ARR Z,Z,M)	REF of a matrix
  extendedRowEchelon!:	M $\to$ (Z $\to$ Z,Z,ARR Z,Z,M)	REF of a matrix
  extendedRowEchelonForm:	M $\to$ (M,M)	REF of a matrix
  maxInvertibleSubmatrix:	M $\to$ (Array Z, Array Z)	Maximal minor
  maxInvertibleSubmatrix!:	M $\to$ (Array Z, Array Z)	Maximal minor
  pivot:	(M, Z $\to$ Z, Z, Z) $\to$ Z	Select a pivot
  rank!:	M $\to$ Z	Rank of a matrix
  rank:	M $\to$ Z	Rank of a matrix
  rowEchelon:	M $\to$ (M,Z $\to$ Z,Z,ARR Z,Z)	REF of a matrix
  rowEchelon!:	M $\to$ (Z $\to$ Z,Z,ARR Z,Z)	REF of a matrix
  	(M, M) $\to$ (Z $\to$ Z,Z,ARR Z,Z)
  rowEchelonForm:	M $\to$ M	REF of a matrix
  span:	M $\to$ Array Z	Span of a matrix
  span!:	M $\to$ Array Z	Span of a matrix

• where

• Z	==	MachineInteger
  ARR	==	PrimitiveArray
  V	==	Vector R