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output.aux
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\relax
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\@writefile{toc}{\beamer@endinputifotherversion {3.36pt}}
\@writefile{nav}{\beamer@endinputifotherversion {3.36pt}}
\select@language{english}
\@writefile{toc}{\select@language{english}}
\@writefile{lof}{\select@language{english}}
\@writefile{lot}{\select@language{english}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
\@writefile{toc}{\beamer@sectionintoc {1}{ QUESTION }{2}{0}{1}}
\@writefile{nav}{\headcommand {\sectionentry {1}{ QUESTION }{2}{ QUESTION }{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{1}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{1}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{1}{2/2}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}
\@writefile{toc}{\beamer@sectionintoc {2}{ GEOMETRY QUESTION }{3}{0}{2}}
\@writefile{nav}{\headcommand {\sectionentry {2}{ GEOMETRY QUESTION }{3}{ GEOMETRY QUESTION }{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {2}{2}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {2}{2}}}
\@writefile{nav}{\headcommand {\slideentry {2}{0}{1}{3/3}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
\@writefile{toc}{\beamer@sectionintoc {3}{MATRIX TRANSFORMATION}{4}{0}{3}}
\@writefile{nav}{\headcommand {\sectionentry {3}{MATRIX TRANSFORMATION}{4}{MATRIX TRANSFORMATION}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {3}{3}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {3}{3}}}
\@writefile{nav}{\headcommand {\slideentry {3}{0}{1}{4/4}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
\@writefile{toc}{\beamer@sectionintoc {4}{MATRIX TRANSFORMATION}{5}{0}{4}}
\@writefile{nav}{\headcommand {\sectionentry {4}{MATRIX TRANSFORMATION}{5}{MATRIX TRANSFORMATION}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {4}{4}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {4}{4}}}
\@writefile{nav}{\headcommand {\slideentry {4}{0}{1}{5/5}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}}
\@writefile{toc}{\beamer@sectionintoc {5}{MATRIX TRANSFORMATION}{6}{0}{5}}
\@writefile{nav}{\headcommand {\sectionentry {5}{MATRIX TRANSFORMATION}{6}{MATRIX TRANSFORMATION}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {5}{5}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {5}{5}}}
\@writefile{nav}{\headcommand {\slideentry {5}{0}{1}{6/6}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}}
\@writefile{toc}{\beamer@sectionintoc {6}{MATRIX TRANSFORMATION}{7}{0}{6}}
\@writefile{nav}{\headcommand {\sectionentry {6}{MATRIX TRANSFORMATION}{7}{MATRIX TRANSFORMATION}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {6}{6}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {6}{6}}}
\@writefile{nav}{\headcommand {\slideentry {6}{0}{1}{7/7}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {7}{7}}}
\@writefile{toc}{\beamer@sectionintoc {7}{SOLUTION}{8}{0}{7}}
\@writefile{nav}{\headcommand {\sectionentry {7}{SOLUTION}{8}{SOLUTION}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {7}{7}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {7}{7}}}
\@writefile{nav}{\headcommand {\slideentry {7}{0}{1}{8/8}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {8}{8}}}
\@writefile{toc}{\beamer@sectionintoc {8}{SOLUTION}{9}{0}{8}}
\@writefile{nav}{\headcommand {\sectionentry {8}{SOLUTION}{9}{SOLUTION}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {8}{8}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {8}{8}}}
\@writefile{nav}{\headcommand {\slideentry {8}{0}{1}{9/9}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {9}{9}}}
\@writefile{toc}{\beamer@sectionintoc {9}{FIGURE}{10}{0}{9}}
\@writefile{nav}{\headcommand {\sectionentry {9}{FIGURE}{10}{FIGURE}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {9}{9}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {9}{9}}}
\newlabel{Circle }{{1}{10}{FIGURE}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {Circle }{10}}
\@writefile{nav}{\headcommand {\slideentry {9}{0}{1}{10/10}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {10}{10}}}
\@writefile{nav}{\headcommand {\beamer@partpages {1}{10}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {10}{10}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {10}{10}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {10}}}
\@writefile{nav}{\headcommand {\def \inserttotalframenumber {10}}}