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linearAlgebra.tex
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\documentclass[10pt,twocolumn,handout,twoside,numbers,wordchoicegiven]{xourse}
%INCLUDE EXERCISE SOLUTIONS
%\newcommand{\displaysolutions}{}
%\usepackage{showlabels}
%\renewcommand{\showlabelfont}{\ttfamily\tiny}
\input{preamble}
\newcommand{\labelchapter}[1]{}
\pdfOnly{\usepackage{printStyles/lulu}}
\ifcsname displaysolutions\endcsname%
\usepackage{showlabels}
\renewcommand{\showlabelfont}{\color{red}}
\geometry{margin=1.5in,top=0.5in,bottom=0.5in}
\fi
\title{Linear Algebra}
\author{Martin Golubitsky, Michael Dellnitz, and Jim Fowler}
\begin{document}
\maketitle
\pdfOnly{\frontmatter}
\activity{preface.tex}
\pdfOnly{\mainmatter}
\ifcsname displaysolutions\endcsname\onecolumn\fi
\chapterstyle
\activity{preliminaries/preliminaries.tex} %DONE
\labelchapter{chap:prelim}
\sectionstyle
\activity{preliminaries/vectorsAndMatrices.tex} %DONE
\activity{preliminaries/mATLAB.tex}
\activity{preliminaries/specialKindsOfMatrices.tex} % DONE but no CEXPR
\activity{preliminaries/theGeometryOfVectorOperations.tex} % DONE but no CEXPR
\chapterstyle
\activity{solvingLinearEquations/solvingLinearEquations.tex} %DONE
\labelchapter{lineq}
\sectionstyle
\activity{solvingLinearEquations/systemsOfLinearEquationsAndMatrices.tex}% DONE but no
\activity{solvingLinearEquations/theGeometryOfLowDimensionalSolutions.tex} % DONE
\activity{solvingLinearEquations/gaussianElimination.tex} % DONE but no CEXPR
\activity{solvingLinearEquations/reductionToEchelonForm.tex} % DONE but no CEXPR
\activity{solvingLinearEquations/linearEquationsWithSpecialCoefficients.tex}% DONE but no
\activity{solvingLinearEquations/uniquenessOfReducedEchelonForm.tex} %DONE!
\chapterstyle
\activity{matricesAndLinearity/matricesAndLinearity.tex} %DONE
\labelchapter{chap:matrices}
\sectionstyle
\activity{matricesAndLinearity/matrixMultiplicationOfVectors.tex} % started...
\activity{matricesAndLinearity/matrixMappings.tex}
\activity{matricesAndLinearity/linearity.tex}
\activity{matricesAndLinearity/thePrincipleOfSuperposition.tex}
\activity{matricesAndLinearity/compositionAndMultiplicationOfMatrices.tex}
\activity{matricesAndLinearity/propertiesOfMatrixMultiplication.tex}
\activity{matricesAndLinearity/solvingLinearSystemsAndInverses.tex}
\activity{matricesAndLinearity/determinantsOfMatrices.tex}
\chapterstyle
\activity{solvingOrdinaryDifferentialEquations/solvingOrdinaryDifferentialEquations.tex}
\labelchapter{chap:SolveOdes}
\sectionstyle
\activity{solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation.tex}
\activity{solvingOrdinaryDifferentialEquations/rateProblems.tex}
\activity{solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations.tex}
\activity{solvingOrdinaryDifferentialEquations/coupledLinearSystems.tex}
\activity{solvingOrdinaryDifferentialEquations/theInitialValueProblemAndEigenvectors.tex}
\activity{solvingOrdinaryDifferentialEquations/eigenvaluesOfMatrices.tex}
\activity{solvingOrdinaryDifferentialEquations/initialValueProblemsRevisited.tex}
\activity{solvingOrdinaryDifferentialEquations/markovChains.tex}
\chapterstyle
\activity{vectorSpaces/vectorSpaces.tex}
\labelchapter{C:vectorspaces}
\sectionstyle
\activity{vectorSpaces/vectorSpacesAndSubspaces.tex}
\activity{vectorSpaces/constructionOfSubspaces.tex}
\activity{vectorSpaces/spanningSetsAndMATLAB.tex}
\activity{vectorSpaces/linearDependenceAndLinearIndependence.tex}
\activity{vectorSpaces/dimensionAndBases.tex}
\activity{vectorSpaces/theProofOfTheMainTheorem.tex}
\chapterstyle
\activity{closedFormSolutionsForPlanarODEs/closedFormSolutionsForPlanarODEs.tex}
\labelchapter{Chap:Planar}
\sectionstyle
\activity{closedFormSolutionsForPlanarODEs/theInitialValueProblem.tex}
\activity{closedFormSolutionsForPlanarODEs/closedFormSolutionsByTheDirectMethod.tex}
\activity{closedFormSolutionsForPlanarODEs/similarMatrices.tex}
\activity{qualitativeTheoryOfPlanarODEs/sinksSaddlesAndSources.tex}
\activity{closedFormSolutionsForPlanarODEs/solutionsUsingMatrixExponentials.tex}
\activity{closedFormSolutionsForPlanarODEs/formulasForMatrixExponentials.tex}
\activity{closedFormSolutionsForPlanarODEs/secondOrderEquations.tex}
\chapterstyle
\activity{determinantsAndEigenvalues/determinantsAndEigenvalues.tex}
\labelchapter{C:D&E}
\sectionstyle
\activity{determinantsAndEigenvalues/determinants.tex}
\activity{determinantsAndEigenvalues/eigenvalues.tex}
\activity{determinantsAndEigenvalues/realDiagonalizableMatrices.tex}
\activity{determinantsAndEigenvalues/existenceOfDeterminants.tex}
\chapterstyle
\activity{linearMapsAndChangesOfCoordinates/linearMapsAndChangesOfCoordinates.tex}
\labelchapter{C:LMCC}
\sectionstyle
\activity{linearMapsAndChangesOfCoordinates/linearMappingsAndBases.tex}
\activity{linearMapsAndChangesOfCoordinates/rowRankEqualsColumnRank.tex}
\activity{linearMapsAndChangesOfCoordinates/vectorsAndMatricesInCoordinates.tex}
\activity{linearMapsAndChangesOfCoordinates/matricesOfLinearMapsOnAVectorSpace.tex}
\chapterstyle
\activity{leastSquares/leastSquares.tex}
\labelchapter{Chap:LeastSquares}
\sectionstyle
\activity{leastSquares/leastSquaresApproximations.tex}
\activity{leastSquares/bestApproximateSolutions.tex}
\activity{leastSquares/leastSquaresFittingOfData.tex}
\chapterstyle
\activity{orthogonality/orthogonality.tex}
\labelchapter{Chap:LinTrans}
\sectionstyle
\activity{orthogonality/orthonormalBases.tex}
\activity{orthogonality/gram_schmidt.tex}
\activity{orthogonality/symmetricMatrices.tex}
\activity{orthogonality/orthogonalMatricesAndQRDecompositions.tex}
\chapterstyle
\activity{matrixNormalForms/matrixNormalForms.tex}
\labelchapter{C:HDeigenvalues}
\sectionstyle
\activity{matrixNormalForms/simpleComplexEigenvalues.tex}
\activity{matrixNormalForms/multiplicityAndGeneralizedEigenvectors.tex}
\activity{matrixNormalForms/theJordanNormalFormTheorem.tex}
\activity{matrixNormalForms/markovMatrixTheory.tex}
\activity{matrixNormalForms/proofOfJordanNormalForm.tex}
\pdfOnly{\chapterstyle\onecolumn\activity{./commands.tex}}
\pdfOnly{\printindex}
\end{document}
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