
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]])




