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diff --git a/matrices.org b/matrices.org deleted file mode 100644 index 0d0e683..0000000 --- a/matrices.org +++ /dev/null @@ -1,77 +0,0 @@ -* Matrices -*** Outline -***** Introduction -******* Why do we want to do that? -******* We shall use arrays (introduced before) for matrices -******* Arsenal Required -********* working knowledge of arrays -***** Various matrix operations -******* Transpose -******* Sum of all elements -******* Element wise operations -******* Matrix multiplication -******* Inverse of a matrix -******* Determinant -******* eigen values/vectors -******* svd -***** Other things available? -*** Script - Welcome. - - In this tutorial, you will learn how to perform some common matrix - operations. We shall look at some of the functions available in - pylab. Note that, this tutorial just scratches the surface and - there is a lot more that can be done. - - Let's begin with finding the transpose of a matrix. - - In []: a = array([[ 1, 1, 2, -1], - ...: [ 2, 5, -1, -9], - ...: [ 2, 1, -1, 3], - ...: [ 1, -3, 2, 7]]) - - In []: a.T - - Type a, to observe the change in a. - In []: a - - Now we shall look at adding another matrix b, to a. It doesn't - require anything special, just use the + operator. - - In []: b = array([[3, 2, -1, 5], - [2, -2, 4, 9], - [-1, 0.5, -1, -7], - [9, -5, 7, 3]]) - In []: a + b - - What do you expect would be the result, if we used * instead of - the + operator? - - In []: a*b - - You get an element-wise product of the two arrays and not a matrix - product. To get a matrix product, we use the dot function. - - In []: dot(a, b) - - The sum function returns the sum of all the elements of the - array. - - In []: sum(a) - - The inv command returns the inverse of the matrix. - In []: inv(a) - - In []: det(a) - - In []: eig(a) - Returns the eigenvalues and the eigen vectors. - - In []: eigvals(a) - Returns only the eigenvalues. - - In []: svd(a) - Singular Value Decomposition - -*** Notes - |