LinearSystemMatrixPackage(F, Row, Col, M)ΒΆ

solvelin.spad line 1

This package solves linear system in the matrix form AX = B.

hasSolution?: (M, Col) -> Boolean
hasSolution?(A, B) tests if the linear system AX = B has a solution.
particularSolution: (M, Col) -> Union(Col, failed)
particularSolution(A, B) finds a particular solution of the linear system AX = B.
rank: (M, Col) -> NonNegativeInteger
rank(A, B) computes the rank of the complete matrix (A|B) of the linear system AX = B.
solve: (M, Col) -> Record(particular: Union(Col, failed), basis: List Col)
solve(A, B) finds a particular solution of the system AX = B and a basis of the associated homogeneous system AX = 0.
solve: (M, List Col) -> List Record(particular: Union(Col, failed), basis: List Col)
solve(A, LB) finds a particular soln of the systems AX = B and a basis of the associated homogeneous systems AX = 0 where B varies in the list of column vectors LB.