--- a/matrices/script.rst Mon Nov 08 02:02:29 2010 +0530
+++ b/matrices/script.rst Mon Nov 08 10:55:04 2010 +0530
@@ -30,6 +30,7 @@
External Reviewer :
Checklist OK? : <put date stamp here, if OK> [2010-10-05]
+.. #[punch: please mark the exercises, using the syntax we decided upon.]
========
Matrices
@@ -41,9 +42,10 @@
{{{ switch to next slide, outline slide }}}
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.
+direct data, by converting a list and 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 }}}
@@ -158,6 +160,8 @@
{{{ switch to next slide, Frobenius norm of inverse of matrix }}}
+.. #[punch: arange has not been introduced.]
+
Now let us try to find out the Frobenius norm of inverse of a 4 by 4
matrix, the matrix being,
::
@@ -177,6 +181,11 @@
im5 = inv(m5)
+.. #[punch: we don't need to show this way of calculating the norm, do
+.. we? even if we do, we should show it in the "array style".
+.. something like:
+.. sqrt(sum(each * each))]
+
And the Frobenius norm of the matrix ``im5`` can be found out as,
::
@@ -186,12 +195,14 @@
print sqrt(sum)
{{{ switch to next slide, infinity norm }}}
+.. #[punch: similarly for this section.]
Now try to find out the infinity norm of the matrix im5. The infinity
norm of a matrix is defined as the maximum value of sum of the
absolute of elements in each row. Pause here and try to solve the
problem yourself.
+
The solution for the problem is,
::
@@ -242,6 +253,9 @@
eig(m5)
+
+.. #[punch: has the tuple word been introduced?]
+
Note that it returned a tuple of two matrices. The first element in
the tuple are the eigen values and the second element in the tuple are
the eigen vectors. Thus the eigen values are,
@@ -300,5 +314,5 @@
mode: rst
indent-tabs-mode: nil
sentence-end-double-space: nil
- fill-column: 75
+ fill-column: 70
End: