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diff --git a/matrices/script.rst b/matrices/script.rst index 4bc3a3f..75c562a 100644 --- a/matrices/script.rst +++ b/matrices/script.rst @@ -1,17 +1,35 @@ -.. 4.3 LO: Matrices (3) [anoop] -.. ----------------------------- -.. * creating matrices -.. + direct data -.. + list conversion -.. + builtins - identitiy, zeros, -.. * matrix operations -.. + + - * / -.. + dot -.. + inv -.. + det -.. + eig -.. + norm -.. + svd +.. Objectives +.. ---------- + +.. At the end of this tutorial, you will be able to + +.. 1. Create matrices using data. +.. #. Create matrices from lists. +.. #. Basic matrix operations. +.. #. Use ``inv()`` function to find inverse of a matrix. +.. #. Use ``det()`` function to find determinant of a matrix. +.. #. Use ``eig()`` and ``eigvals()`` functions to find eigen values + and vectors +.. #. Use ``norm()`` function to find norm of a matrix. +.. #. Use ``svd()`` function to find singular value decomposition of a + matrix. + + +.. Prerequisites +.. ------------- + +.. 1. should have ``ipython`` and ``pylab`` installed. +.. #. getting started with ``ipython``. +.. #. getting started with lists. +.. #. getting started with arrays. +.. #. accessing part of arrays. + + +.. Author : Anoop Jacob Thomas <anoop@fossee.in> + Internal Reviewer : + External Reviewer : + Checklist OK? : <put date stamp here, if OK> [2010-10-05] + ======== Matrices @@ -22,8 +40,10 @@ Welcome to the spoken tutorial on Matrices. {{{ 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 }}} @@ -88,6 +108,8 @@ function ``multiply()`` 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 @@ -108,11 +130,15 @@ in matrix object. {{{ 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, :: @@ -178,8 +204,6 @@ we do, norm(im5) -Euclidean norm is also called Frobenius norm. - And to find out the Infinity norm of the matrix im5, we do, :: |