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\newcommand{\docid}{Chapter 5 and 6}

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\begin{hwsection}{5.1}{Eigenvectors and Eigenvalues} 
  {1-7, 9-15, 22-26} {2, 4, 6, 7, 10, 12, 14, 15, 18, 22, 24, 26}
\end{hwsection}

\begin{hwsection}{5.2}{The Characteristic Equation}
  {1 -12,15-16,18-22}{4,5 8, 10, 12, 15, 18, 20, 22}
\end{hwsection}

\begin{hwsection}{5.3}{Diagonalization}
  {1-140,21-26}{4, 6, 8, 9, 11, 12, 22, 24, 26}
\end{hwsection}

\begin{hwsection}{5.4}{Eigenvectors and Linear Transformations}
  {1-4,11-17,21-24} {2, 4, 5, 12, 14, 15, 16, 20, 22}
%dropped 24.
\end{hwsection}

%% I would like to skip this section, in factor of later sections. 
%\begin{hwsection}{5.5}{Complex eigenvalues}
%  {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 23, 24} {2, 4, 6, 8,
%    10, 14, 16, 24}
%\end{hwsection}

\begin{hwsection}{6.1}{Inner products, length, and orthogonality}
  {1-6, 9-11, 13-20,24,25,29,30} {2,4,6,8,10,11,14,16,17,18,20,24,30}
\end{hwsection}

\begin{hwsection}{6.2}{Orthogonal sets}
  {1-4,7-10,11-14,17,18,23,24,26-30} {2,4,7,10,11,15,18,24,26,28}
\end{hwsection}


\begin{hwsection}{6.3}{Orthogonal projections}
  {1-4,7-12,15,17,21,22} {2,4,7,10,12,15,17,22}
\end{hwsection}


\begin{hwsection}{6.4}{Gram-Schmidt}
  {1-4,9,10,17,18} {1,3,4,9,18}
\end{hwsection}

\begin{hwsection}{6.5}{Least squares}{1,2,5,6,9,10,17,18,19}{2,5,6,9,19}
\end{hwsection}

\end{document}

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