#
Mathematical Experiment
5

When the command ``with linalg'' is issued, over 100 new functions are
defined. Look for ``references'' under help for further details. These
functions may be divided into several categories:
###
creation of matrices

hilbert, vandermonde, toeplitz, fibonacci, randmat, diag, matrix, entermatrix,
blockmatrix, JordanBlock
###
creation of a vector

vector, randvector, col, row
###
scalar value associated with a vector

norm
###
scalar value associated with two vectors

angle, dotprod, innderprod
###
scalar value associated with a matrix

det, trace, permanent, norm, singularvals, cond, vectdim, rowdim, coldim,
rank, hadamard
###
vector associated with two vectors

crossprod
###
vector associated with one matrix

eigenvect, subvector, row
###
operation on a matrix

delrows, delcols, addcol, addrow, swapcol, mulcol, swaprow, adj, adjoint,
extend, copyinto, augment
###
matrix associated with a vector

band, toeplitz, vandermonde
###
matrix associated with one matrix

submatrix, adj, adjoint, transpose, htranspose, exponential, minor, inverse
###
matrix associated with two matrices

matadd, multiply, extend
###
test the property

equal, issimilar, iszero, orthog, definite
###
calculus of several variables

grad, curl, potential, vecpotent, jacobian, laplacian, curl, diverge, hessian
###
operations related to the eigenvalue

charmat, charpoly, eigenvect, eigenvals
###
operations related to the polynomial

charpoly, companion, minpoly, sylvester, bezout
###
creation of matrix function from a vector
function

wronskian
###
stack operation

stack
###
normal form of a matrix

smith, ismith, hermit, ihermit, jordan
###
basis computation

basis, colspace, rowspace, rowspan, colspan, sumbasis, intbasis, kernel
###
computation of orthogonal vectors

GramSchmidt, normalize
###
matrix decomposition

LUdecomp, QRdecomp, cholesky, gaussjord, frobenius
###
solving linear system

backsub, guasselim, forwardsub, linsolve, ffgausselim, pivot, geneqns,
genmatrix, leastsqrs

exp5.tex