Learning Guide Learning Guide

80 • Chapter 3: Finding Solutionslinalg over 100 commands for matrix and vector manipulation; everythingfrom adding two matrices to symbolic eigenvectors and eigenvalues.LinearAlgebra enhanced linear algebra commands for creating specialtypes of Matrices, calculating with large numeric Matrices, and performingMatrix algebra.LinearFunctionalSystems commands that solve linear functional systemswith polynomial coefficients, find the universal denominator ofa rational solution, and transform a matrix recurrence system into anequivalent system with a nonsingular leading or trailing matrix.ListTools commands that manipulate lists.LREtools commands for manipulating, plotting, and solving linear recurrenceequations.Maplets commands for creating windows, dialogs, and other visual interfacesthat interact with a user to provide the power of Maple.MathML commands that import and export Maple expressions to and fromMathML text.Matlab commands to use several of Matlab’s numerical matrix functions,including eigenvalues and eigenvectors, determinants, and LUdecomposition.(Only accessible if Matlab is installed on your system.)MatrixPolynomialAlgebra set of tools for the algebraic manipulation ofmatrix polynomials.networks tools for constructing, drawing, and analyzing combinatorialnetworks. Facilities for handling directed graphs, and arbitrary expressionsfor edge and vertex weights.numapprox commands for calculating polynomial approximations to functionson a given interval.numtheory commands for classic number theory, primality testing, findingthe nth prime, factoring integers, generating cyclotomic polynomials.This package also contains commands for handling convergents.Ore_algebra routines for basic computations in algebras of linear operators.