............Echelon factorization A = c a b. cab.m cofactor.m........Matrix of cofactors. colbasis.m........Basis for the column space. cramer.m............Solve the system Ax=b. determ.m........Matrix determinant from plu. eigen2.m............Characteristic polynomial, eigenvalues, eigenvectors. eigshow.m............Graphical demonstration of eigenvalues and singular values. eigval.m............Eigenvalues and their algebraic multiplicity. eigvec.m............Eigenvectors and their geometric multiplicity. elim.m............EA=R factorization. findpiv.m............Used by plu to find a pivot for Gaussian elimination. fourbase.m............Bases for all 4 fundamental subspaces. grams.m............Gram-Schmidt orthogonalization of the columns of A. house.m............Stores the "house" data set in X. inverse.m............Matrix inverse by Gauss-Jordan elimination. leftnull.m............Basis for the left nullspace. linefit.m............Plot the least squares fit by a line. lsq.m............Least squares solution of Ax=b. normal.m............Eigenvalues and eigenvectors of a normal matrix A. nulbasis.m............Basis for the nullspace. orthcomp.m............Orthogonal complement of a subspace. partic.m............Particular solution of Ax=b. plot2d.m............Two dimensional plot. plu.m............Rectangular PA=LU factorization *with row exchanges*. poly2str.m............Convert a polynomial coefficient vector to a string. project.m............Project a vector b onto the column space of A. projmat.m............Projection matrix for the column space of A. randperm.m............Random permutation. rowbasis.m............Basis for the row space. samespan.m............Test if two matrices have the same column space. signperm.m............Determinant of the permutation matrix with rows ordered by p. slu.m............LU factorization of a square matrix using *no row exchanges*. splu.m............Square PA=LU factorization *with row exchanges*. splv.m............Solution to a square, invertible system. symmeig.m............Eigenvalues and eigenvectors of a symmetric matrix. tridiag.m............Tridiagonal matrix.