\relax 
\@writefile{toc}{\contentsline {chapter}{\numberline {6}Orthogonality}{33}{}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {section}{\numberline {6.1}Spanning set theorem}{33}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6.2}Orthogonal pair of vectors}{33}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6.3}Orthonormal set}{33}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6.4}Orthogonal complement}{34}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6.5}Best approximation theorem}{34}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6.6}Orthogonal decomposition theorem}{34}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6.7}Vector projection on 1 dimensional linear subspace}{34}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6.8}Vector projection on $n$ dimensional linear subspace}{34}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6.9}Gram-Schmidt process}{34}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6.10}Orthogonal matrix}{35}{}\protected@file@percent }
\@setckpt{4}{
\setcounter{page}{36}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{1}
\setcounter{chapter}{6}
\setcounter{section}{10}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{0}
\setcounter{table}{0}
\setcounter{parentequation}{0}
\setcounter{float@type}{8}
\setcounter{algorithm}{0}
\setcounter{ALC@unique}{0}
\setcounter{ALC@line}{0}
\setcounter{ALC@rem}{0}
\setcounter{ALC@depth}{0}
\setcounter{proposition}{1}
\setcounter{lemma}{0}
\setcounter{theorem}{1}
\setcounter{definition}{5}
\setcounter{example}{0}
\setcounter{corollary}{0}
}