Fundamentals_of_Matrix_Algebra.tex

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\input{cover/front_cover_in_text}
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\frontmatter

\title{\textsc{Fundamentals of Matrix Algebra}\\
{\small Version 2.1011}}
\author{Gregory N. Hartman, Ph.D.}
\date{}

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\chapter{Systems of Linear Equations}\label{chapter:linear}
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\input{text/01_Introduction_Linear_Equations}

\input{text/01_Using_Matrices}

\input{text/01_Gauss_Jordan_Elimination}

\input{text/01_Existence_Uniqueness_Solutions}

\input{text/01_Solving_Systems}

\clearpage{\pagestyle{empty}\cleardoublepage}

\chapter{Matrix Arithmetic}\label{chapter:arithmetic}
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\input{text/02_Matrix_Addition}

\input{text/02_Matrix_Multiplication}

\input{text/02_Geometry_of_Vectors_2D}

\input{text/02_Vector_Solutions}

\input{text/02_Solving_AXB}

\input{text/02_Matrix_Inverses}

\input{text/02_Matrix_Inverse_Properties}

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\chapter{Operations on Matrices}\label{chapter:ops}
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\input{text/03_Transpose}

\input{text/03_Trace}

\input{text/03_Determinant}

\input{text/03_Determinant_Properties}

\input{text/03_CramersRule}

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\chapter{Eigenvalues and Eigenvectors}\label{chapter:eigen}
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\chapter{Graphical Explorations of Vectors}\label{chapter:graph}
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\input{text/05_Geometry_of_Cartesian_Plane}

\input{text/05_Linear_Transformations}

\input{text/05_Geometry_of_Vectors_3D}

\appendix
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