# HG changeset patch # User Puneeth Chaganti # Date 1289193904 -19800 # Node ID 3117f104c577fb255857d4ead34013ceef144846 # Parent 9858ca9e3f93406b5552807838daac6e1267e1e7 Changes to matrices script. diff -r 9858ca9e3f93 -r 3117f104c577 matrices/script.rst --- 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? : [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: