main.tex

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\documentclass[11pt]{book}
\usepackage{gvv-book}
\usepackage{gvv}
%\usepackage{Wiley-AuthoringTemplate}
\usepackage[sectionbib,authoryear]{natbib}% for name-date citation comment the below line
%\usepackage[sectionbib,numbers]{natbib}% for numbered citation comment the above line

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%\includeonly{ch01}
\makeindex

\begin{document}

\frontmatter
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Title Pages
%% Wiley will provide title and copyright page, but you can make
%% your own titlepages if you'd like anyway
%% Setting up title pages, type in the appropriate names here:

\booktitle{Matrix Analysis}

\subtitle{Through Coordinate Geometry}

\AuAff{G. V. V. Sharma}


%% \\ will start a new line.
%% You may add \affil{} for affiliation, ie,
%\authors{Robert M. Groves\\
%\affil{Universitat de les Illes Balears}
%Floyd J. Fowler, Jr.\\
%\affil{University of New Mexico}
%}

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\titlepage

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%% Copyright Page

\begin{copyrightpage}{2022}
%Title, etc
\end{copyrightpage}

% Note, you must use \ to start indented lines, ie,
% 
% \begin{copyrightpage}{2004}
% Survey Methodology / Robert M. Groves . . . [et al.].
% \       p. cm.---(Wiley series in survey methodology)
% \    ``Wiley-Interscience."
% \    Includes bibliographical references and index.
% \    ISBN 0-471-48348-6 (pbk.)
% \    1. Surveys---Methodology.  2. Social 
% \  sciences---Research---Statistical methods.  I. Groves, Robert M.  II. %
% Series.\\

% HA31.2.S873 2004
% 001.4'33---dc22                                             2004044064
% \end{copyrightpage}

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%% Only Dedication (optional) 

%\dedication{To my parents}

\tableofcontents

%\listoffigures %optional
%\listoftables  %optional

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%  Contributors Page for Edited Book
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% Use \begin{contributors}...\end{contributors} and
% then enter each author with the \name{} command, followed
% by the affiliation information.

% \begin{contributors}
% \name{Masayki Abe,} Fujitsu Laboratories Ltd., Fujitsu Limited, Atsugi, Japan
%
% \name{L. A. Akers,} Center for Solid State Electronics Research, Arizona State University, Tempe, Arizona
%
% \name{G. H. Bernstein,} Department of Electrical and Computer Engineering, University of Notre Dame, Notre Dame, South Bend, Indiana; formerly of
% Center for Solid State Electronics Research, Arizona
% State University, Tempe, Arizona 
% \end{contributors}

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%\begin{foreword}
%\lipsum[1-2]
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%\begin{preface}
%\lipsum[1-1]
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%\where{place\\
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% \where{Durham, North Carolina\\
% September, 2004}

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%\acknowledgments
%\lipsum[1-2]
%\authorinitials{I. R. S.}  

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% \begin{glossary}
% \term{<term>}{<description>}
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%\begin{acronyms}
%\acro{ASTA}{Arrivals See Time Averages}
%\acro{BHCA}{Busy Hour Call Attempts}
%\acro{BR}{Bandwidth Reservation}
%\acro{b.u.}{bandwidth unit(s)}
%\acro{CAC}{Call / Connection Admission Control}
%\acro{CBP}{Call Blocking Probability(-ies)}
%\acro{CCS}{Centum Call Seconds}
%\acro{CDTM}{Connection Dependent Threshold Model}
%\acro{CS}{Complete Sharing}
%\acro{DiffServ}{Differentiated Services}
%\acro{EMLM}{Erlang Multirate Loss Model}
%\acro{erl}{The Erlang unit of traffic-load}
%\acro{FIFO}{First in - First out}
%\acro{GB}{Global balance}
%\acro{GoS}{Grade of Service}
%\acro{ICT}{Information and Communication Technology}
%\acro{IntServ}{Integrated Services}
%\acro{IP}{Internet Protocol}
%\acro{ITU-T}{International Telecommunication Unit -- Standardization sector}
%\acro{LB}{Local balance}
%\acro{LHS}{Left hand side}
%\acro{LIFO}{Last in - First out}
%\acro{MMPP}{Markov Modulated Poisson Process}
%\acro{MPLS}{Multiple Protocol Labeling Switching}
%\acro{MRM}{Multi-Retry Model}
%\acro{MTM}{Multi-Threshold Model}
%\acro{PASTA}{Poisson Arrivals See Time Averages}
%\acro{PDF}{Probability Distribution Function}
%\acro{pdf}{probability density function}
%\acro{PFS}{Product Form Solution}
%\acro{QoS}{Quality of Service}
%\acro{r.v.}{random variable(s)}
%\acro{RED}{random early detection}
%\acro{RHS}{Right hand side}
%\acro{RLA}{Reduced Load Approximation}
%\acro{SIRO}{service in random order}
%\acro{SRM}{Single-Retry Model}
%\acro{STM}{Single-Threshold Model}
%\acro{TCP}{Transport Control Protocol}
%\acro{TH}{Threshold(s)}
%\acro{UDP}{User Datagram Protocol}
%\end{acronyms}

\setcounter{page}{1}

\begin{introduction}
This book links high school coordinate geometry to linear algebra and matrix analysis through solved problems.

\end{introduction}

\mainmatter

\chapter{Vectors}
\section{Length}
\input{chapters/vectors/examples/length.tex}
\section{Distance}
\input{chapters/vectors/examples/distance.tex}
\section{Exercises}
\input{chapters/vectors/exer/distance.tex}
\section{Section Formula}
\input{chapters/vectors/examples/section.tex}
\section{Exercises}
\input{chapters/vectors/exer/section.tex}
\section{Rank}
\input{chapters/vectors/examples/rank.tex}
\section{Exercises}
\input{chapters/vectors/exer/rank.tex}
\section{Scalar Product}
\input{chapters/vectors/examples/scalar.tex}
\section{Exercises}
\input{chapters/vectors/exer/scalar.tex}
\section{Orthogonality}
\input{chapters/vectors/examples/ortho.tex}
\section{Exercises}
\input{chapters/vectors/exer/ortho.tex}
\section{Vector Product}
\input{chapters/vectors/examples/cross.tex}
\section{Exercises}
\input{chapters/vectors/exer/cross.tex}
\section{Miscellaneous}
\input{chapters/vectors/examples/misc.tex}
\section{Exercises}
\input{chapters/vectors/exer/misc.tex}
\section{Triangle}
\input{chapters/const/examples/tri.tex}
\section{Exercises}
\input{chapters/const/exer/tri.tex}
\section{ Quadrilateral}
\input{chapters/const/examples/quad.tex}
\section{Exercises}
\input{chapters/const/exer/quad.tex}
%
\chapter{Linear Forms}
\section{Equation of a Line}
\input{chapters/linear/examples/equation.tex}
\section{Perpendicular}
\input{chapters/linear/examples/perp.tex}
\section{Plane}
\input{chapters/linear/examples/plane.tex}
\section{Miscellaneous }
\input{chapters/linear/examples/misc.tex}
\section{Exemplar}
\input{exemplar/11.10.3}
\section{Singular Value Decomposition}
\input{svd/svd.tex}
%
%\chapter{Constructions}
%\section{JEE}
%\input{jee/7.tex}
%--------------------------------------------------------
%\section{Properties}
%\input{chapters/9/9/3.tex}
%
%\section{Properties}
%\input{chapters/9/8/1.tex}
%\section{Mid Point Theorem}
%\input{chapters/9/8/2.tex}
%\section{Parallelograms}
%\section{Triangles and Parallelograms}
%\input{chapters/9/9/4.tex}
%--------------------------------------------------------

%\chapter{Circles}
%
%\chapter{Tangents to a Circle}


\chapter{Conics}
\section{Circle}
\input{chapters/circles/examples/equation.tex}
\section{Exercises}
\input{chapters/circles/exer/equation.tex}
\section{Construction}
\input{chapters/circles/examples/const.tex}
\section{Exercises}
\input{chapters/circles/exer/const.tex}
\section{Parabola}
\input{chapters/conics/examples/parab.tex}
\section{Exercises}
\input{chapters/conics/exer/parab.tex}
\section{Ellipse}
\input{chapters/conics/examples/ellipse.tex}
\section{Exercises}
\input{chapters/conics/exer/ellipse.tex}
\section{Hyperbola}
\input{chapters/conics/examples/hyper.tex}
\section{Exercises}
\input{chapters/conics/exer/hyper.tex}

\chapter{Intersection of Conics}
\section{Chords }
\input{chapters/inter/examples/chord.tex}
\section{Curves}
\input{chapters/inter/examples/curves.tex}
%
\chapter{Tangent And Normal}
\section{Examples}
\input{chapters/tangent/examples/tangent.tex}
\section{Exercises}
\input{chapters/tangent/exer/tangent.tex}
\section{Construction}
\input{chapters/circles/examples/tangent.tex}
\section{Exercises}
\input{chapters/circles/exer/tangent.tex}


%\include{ch02} 
\backmatter
\appendix
\chapter{ Vectors}
\section{$2\times 1$ vectors}
\input{matrix/two.tex}
%\include{app01}
%\appendix
\section{$3\times 1$ vectors}
\input{matrix/three.tex}
\chapter{Matrices}
\input{matrix/mat.tex}
\input{linman/chapters/decomp/svd.tex}

\chapter{Triangle Constructions}
\input{cons/tri.tex}


\chapter{Linear Forms}
\section{Two Dimensions}
\input{linear/two.tex}
\section{Three Dimensions}
\input{linear/three.tex}
\chapter{Quadratic Forms}
%\numberwithin{equation}{subsection}
%\numberwithin{equation}{section}
\section{Conic equation }
\input{quad/defs.tex}
\section{Circles}
\input{quad/circle.tex}

\section{Standard Form}
\input{quad/stddef.tex}
\chapter{Conic Parameters}
\section{Standard Form}
\input{quad/standard.tex}
\section{Quadratic Form }
\input{quad/coroll.tex}

\chapter{Conic Lines}
\section{Pair of Straight Lines}
%
\input{quad/pair.tex}
\section{Intersection of Conics}
\input{quadlines/inter.tex}
\section{ Chords of a Conic}
\input{quadlines/chord.tex}
\section{ Tangent and Normal}
\input{quadlines/tangent.tex}
%\chapter{Proofs}
%   \section{}
%\input{apps/defs.tex}

%  \section{}
%\input{apps/parab.tex}
%  \section{}
%\input{apps/nonparab.tex}
%		\section{}
%\input{apps/params.tex}
\latexprintindex

\end{document}

 
\section{Examples}
\subsection{Loney}
\input{examples/loney.tex}
\subsection{Miscellaneous}
\input{examples/misc.tex}
%
%%\section*{Disclosure Statement}
%%The authors report there are no competing interests to declare.
%%
%%
%%
%%  
%%%All the results related to conics are summarized in 
%%%Table \ref{table:conics}.  
%%%\begin{table*}[!t]
%%%\centering
%%%\input{conics.tex}
%%%%\input{./figs/conics.tex}
%%%\caption{$\vec{x}^{\top}\vec{V}\vec{x}+2\vec{u}^{\top}\vec{x}+f = 0$  can be expressed in the above standard form for various conics. $\vec{c}$ represents the centre/vertex of the conic. $\vec{q}$ is/are the point(s) of contact for the tangent(s). }
%%%\label{table:conics}
%%%\end{table*}
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  % \section{Appendices}
  % \appendix
			\appendices