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Diffstat (limited to 'matrices/script.rst')
| -rw-r--r-- | matrices/script.rst | 22 |
1 files changed, 18 insertions, 4 deletions
diff --git a/matrices/script.rst b/matrices/script.rst index 4e57f99..724f220 100644 --- a/matrices/script.rst +++ b/matrices/script.rst @@ -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 @@ Welcome to the spoken tutorial on Matrices. {{{ 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 @@ Matrix name dot capital T will give the transpose of a matrix {{{ 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 @@ And here is the solution, first let us find the inverse of matrix m5. 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 @@ And the Frobenius norm of the matrix ``im5`` can be found out as, 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 @@ m5. We can do it as, 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 @@ Thank you! mode: rst indent-tabs-mode: nil sentence-end-double-space: nil - fill-column: 75 + fill-column: 70 End: |