diff -r 8905a5badd7e -r b3a78754c4a9 day1/session4.tex --- a/day1/session4.tex Thu Oct 15 22:43:51 2009 +0530 +++ b/day1/session4.tex Thu Oct 15 23:10:03 2009 +0530 @@ -129,7 +129,9 @@ \begin{frame}[fragile] \frametitle{Matrices: Initializing} \begin{lstlisting} - In []: a = matrix([[1,2,3],[4,5,6],[7,8,9]]) + In []: a = matrix([[1,2,3], + [4,5,6], + [7,8,9]]) In []: a Out[]: @@ -142,6 +144,7 @@ \subsection{Basic Operations} \begin{frame}[fragile] \frametitle{Inverse of a Matrix} +\begin{small} \begin{lstlisting} In []: linalg.inv(a) Out[]: @@ -149,6 +152,7 @@ [ -6.30442381e+15, 1.26088476e+16, -6.30442381e+15], [ 3.15221191e+15, -6.30442381e+15, 3.15221191e+15]]) \end{lstlisting} +\end{small} \end{frame} \begin{frame}[fragile] @@ -164,13 +168,12 @@ \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{small} \begin{lstlisting} In []: linalg.eigvals(a) Out[]: array([ 1.61168440e+01, -1.11684397e+00, -1.22196337e-15]) @@ -182,18 +185,20 @@ [-0.52532209, -0.08675134, -0.81649658], [-0.8186735 , 0.61232756, 0.40824829]])) \end{lstlisting} +\end{small} \end{frame} \section{Solving linear equations} \begin{frame}[fragile] \frametitle{Solution of equations} Example problem: Consider the set of equations +\vspace{-0.1in} \begin{align*} 3x + 2y - z & = 1 \\ 2x - 2y + 4z & = -2 \\ -x + \frac{1}{2}y -z & = 0 \end{align*} - +\vspace{-0.08in} To Solve this, \begin{lstlisting} In []: A = array([[3,2,-1],[2,-2,4],[-1, 0.5, -1]])