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6.2.7 Matrices
The following are commands and functions for matrices:
BB.CoeffOfBB Computes the coefficient matrix of a border basis.
BB.GenHomMultMat Computes a generic homogeneous multiplication matrix.
BB.GenMultMat Computes a generic multiplication matrix.
BB.MultMat Computes the i-th multiplication matrix associated to a border basis.
Dec Pretty Printing of Objects.
IML.REF Compute a row echelon form of a matrix.
IML.Solve Solves a system of linear equations.
LinAlg.CharPoly Computes the characteristic polynomial of a matrix.
LinAlg.Det Computes the determinant of a matrix.
LinAlg.EF Computes a row echelon form of a matrix over F_2 with record keeping.
LinAlg.REF Computes a row echelon form of a matrix.
LinAlg.Solve Solves a system of linear equations.
LinBox.CharPoly Computes the characteristic polynomial of a matrix.
LinBox.Det Computes the determinant of a matrix.
LinBox.REF Computes a row echelon form of a matrix.
LinBox.Solve Solves a system of linear equations.
Num.AppKer Calculates the approximate kernel of a matrix.
Num.EigenValues Computes the eigenvalues of a matrix.
Num.EigenValuesAndAllVectors Computes eigenvalues and left and right eigenvectors of a matrix.
Num.EigenValuesAndVectors Computes the eigenvalues and eigenvectors of a matrix.
Num.LeastSquaresQR Computes the least squares solution of the linear system of equations Ax=b.
Num.ProjectAVI Computes the least squares solution of the general problem Ax=b, where x are coefficients of an order ideal.
Num.QR Computes the QR-decomposition of a matrix.
Num.SimDiag Computes an approximate diagonalization of a set of matrices.
Num.SVD Computes the singular value decomposition of a matrix.
Slinalg.SEF Computes the row echelon form of a sparse matrix over F2.
Slinalg.SGEF Performs specified steps of structured gaussian elimination on a sparse matrix over F2.




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