\relax 
\@writefile{toc}{\contentsline {chapter}{\numberline {2}Matrix theory}{5}{}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {section}{\numberline {2.1}Matrixes and Vectors}{5}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {2.2}Matrix algebra}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.1}Matrix addition and scalar multiplication}{7}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.2}Laws of matrix addition and scalar multiplication}{7}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.3}Matrix multiplication}{8}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.4}Laws of matrix multiplication}{8}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.5}Relationship to linear equations}{8}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {2.3}Determinant}{9}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.1}Invertible matrix}{9}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.2}Invertible matrix theorem}{10}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.3}Properties of the determinant}{10}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.4}Laplace expansion}{10}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.5}Leibniz' formula}{10}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.6}Cramer's rule}{10}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.7}Principle minors}{10}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.8}Matrix determinant lemma}{10}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {2.4}Transposition}{10}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.4.1}Symmetric matrix}{11}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.4.2}Orthogonal matrix*}{11}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {2.4.3}Hermitian matrix*}{11}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {2.5}Miscellaneous formulae}{11}{}\protected@file@percent }
\@setckpt{2}{
\setcounter{page}{12}
\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}{2}
\setcounter{section}{5}
\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}{16}
\setcounter{example}{0}
\setcounter{corollary}{0}
}