diff -r 4bebfa8c9a0a -r c6d31837cb06 matrices/script.rst
--- a/matrices/script.rst	Wed Oct 13 11:15:18 2010 +0530
+++ b/matrices/script.rst	Wed Oct 13 11:15:37 2010 +0530
@@ -22,8 +22,10 @@
 
 {{{ switch to next slide, outline slide }}}
 
-In this tutorial we will learn about matrices, creating matrices and
-matrix operations.
+In this tutorial we will learn about matrices, creating matrices using
+direct data, by converting a list, matrix operations. Finding inverse
+of a matrix, determinant of a matrix, eigen values and eigen vectors
+of a matrix, norm and singular value decomposition of matrices.
 
 {{{ creating a matrix }}}
 
@@ -70,6 +72,8 @@
 
 it does matrix subtraction, that is element by element
 subtraction. Now let us try,
+
+{{{ Switch to next slide, Matrix multiplication }}}
 ::
 
     m3 * m2
@@ -86,6 +90,8 @@
 
     multiply(m3,m2)
 
+{{{ switch to next slide, Matrix multiplication (cont'd) }}}
+
 Now let us see an example for matrix multiplication. For doing matrix
 multiplication we need to have two matrices of the order n by m and m
 by r and the resulting matrix will be of the order n by r. Thus let us
@@ -106,11 +112,15 @@
 
 {{{ switch to next slide, recall from arrays }}}
 
-As we already saw in arrays, the functions ``identity()``,
-``zeros()``, ``zeros_like()``, ``ones()``, ``ones_like()`` may also be
-used with matrices.
+As we already saw in arrays, the functions ``identity()`` which
+creates an identity matrix of the order n by n, ``zeros()`` which
+creates a matrix of the order m by n with all zeros, ``zeros_like()``
+which creates a matrix with zeros with the shape of the matrix passed,
+``ones()`` which creates a matrix of order m by n with all ones,
+``ones_like()`` which creates a matrix with ones with the shape of the
+matrix passed. These functions can also be used with matrices.
 
-{{{ switch to next slide, matrix operations }}}
+{{{ switch to next slide, more matrix operations }}}
 
 To find out the transpose of a matrix we can do,
 ::
@@ -120,9 +130,9 @@
 
 Matrix name dot capital T will give the transpose of a matrix
 
-{{{ switch to next slide, Euclidean norm of inverse of matrix }}}
+{{{ switch to next slide, Frobenius norm of inverse of matrix }}}
 
-Now let us try to find out the Euclidean norm of inverse of a 4 by 4
+Now let us try to find out the Frobenius norm of inverse of a 4 by 4
 matrix, the matrix being,
 ::
 
@@ -131,17 +141,17 @@
 
 The inverse of a matrix A, A raise to minus one is also called the
 reciprocal matrix such that A multiplied by A inverse will give 1. The
-Euclidean norm or the Frobenius norm of a matrix is defined as square
-root of sum of squares of elements in the matrix. Pause here and try
-to solve the problem yourself, the inverse of a matrix can be found
-using the function ``inv(A)``.
+Frobenius norm of a matrix is defined as square root of sum of squares
+of elements in the matrix. Pause here and try to solve the problem
+yourself, the inverse of a matrix can be found using the function
+``inv(A)``.
 
 And here is the solution, first let us find the inverse of matrix m5.
 ::
 
     im5 = inv(m5)
 
-And the euclidean norm of the matrix ``im5`` can be found out as,
+And the Frobenius norm of the matrix ``im5`` can be found out as,
 ::
 
     sum = 0
@@ -166,11 +176,11 @@
 
 {{{ switch to slide the ``norm()`` method }}}
 
-Well! to find the Euclidean norm and Infinity norm we have an even easier
+Well! to find the Frobenius norm and Infinity norm we have an even easier
 method, and let us see that now.
 
 The norm of a matrix can be found out using the method
-``norm()``. Inorder to find out the Euclidean norm of the matrix im5,
+``norm()``. Inorder to find out the Frobenius norm of the matrix im5,
 we do,
 ::