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%Tutorial slides on Python.

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% Author: The FOSSEE Group

% Copyright (c) 2009, The FOSSEE Group, IIT Bombay

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% Title page

\title[Basic Python]{Matrices, Solution of equations and Integration\\}

\author[FOSEE Team] {The FOSSEE Group}

\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}

\date[] {31, October 2009\\Day 1, Session 4}

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  \titlepage

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\begin{frame}

  \frametitle{Outline}

  \tableofcontents

  \pausesections

\end{frame}

\section{Matrices}

\subsection{Initializing}

\begin{frame}[fragile]

\frametitle{Matrices: Initializing}

\begin{lstlisting}

  In []: a = matrix([[1,2,3],[4,5,6],[7,8,9]])

  In []: a

  Out[]: 

  matrix([[1, 2, 3],

         [4, 5, 6],

         [7, 8, 9]])

\end{lstlisting}

\end{frame}

\subsection{Basic Operations}

\begin{frame}[fragile]

\frametitle{Inverse of a Matrix}

\begin{lstlisting}

  In []: linalg.inv(a)

  Out[]: 

  matrix([[  3.15221191e+15,  -6.30442381e+15,   3.15221191e+15],

          [ -6.30442381e+15,   1.26088476e+16,  -6.30442381e+15],

          [  3.15221191e+15,  -6.30442381e+15,   3.15221191e+15]])

\end{lstlisting}

\end{frame}

\begin{frame}[fragile]

\frametitle{Determinant}

\begin{lstlisting}

  In []: linalg.det(a)

  Out[]: -9.5171266700777579e-16

\end{lstlisting}

\end{frame}

\begin{frame}[fragile]

\frametitle{Computing Norms}

\begin{lstlisting}

  In []: linalg.norm(a)

  Out[]: 16.881943016134134

  In []: linalg.norm?

\end{lstlisting}

\end{frame}

\begin{frame}[fragile]

\frametitle{Eigen Values and Eigen Matrix}

\begin{lstlisting}

  In []: linalg.eigvals(a)

  Out[]: array([  1.61168440e+01,  -1.11684397e+00,  -1.22196337e-15])

  In []: linalg.eig(a)

  Out[]: 

  (array([  1.61168440e+01,  -1.11684397e+00,  -1.22196337e-15]),

   matrix([[-0.23197069, -0.78583024,  0.40824829],

          [-0.52532209, -0.08675134, -0.81649658],

          [-0.8186735 ,  0.61232756,  0.40824829]]))

\end{lstlisting}

\end{frame}

\end{document}