\relax 
\@writefile{toc}{\contentsline {chapter}{\numberline {7}Eigenequations}{37}{}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {section}{\numberline {7.1}Eigenequations}{37}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {7.1.1}Solving eigenequations}{37}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {7.1.2}Examples of eigenequations}{38}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {7.1.3}Eigenvalues}{38}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {7.1.4}Eigenvectors}{38}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {7.2}Eigenspaces}{38}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {7.2.1}Eigenspaces}{38}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {7.2.2}Properties of eigenspaces}{39}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {7.3}Eigendecomposition and matrix diagonalization}{39}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {7.3.1}Matrix diagonalization}{39}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {7.3.2}OrthMatrix diagonalization}{40}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {7.3.3}Properties of diagonalizable matrixes}{40}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {7.3.4}Eigendecomposition}{40}{}\protected@file@percent }
\@setckpt{5}{
\setcounter{page}{41}
\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}{7}
\setcounter{section}{3}
\setcounter{subsection}{4}
\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}{2}
\setcounter{lemma}{0}
\setcounter{theorem}{4}
\setcounter{definition}{5}
\setcounter{example}{0}
\setcounter{corollary}{0}
}