Homework01 - Homework 1 Due on January 15th 2010(in class...

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Homework 1 - Due on January 15th, 2010 (in class – 40 points) The first two exercises should be submitted via Scorelator (4 attempts are available). One goal for these exercises is to learn how to generate a random vector in Matlab . Use the commands lookfor and help to learn about random vectors in Matlab . 1. (10 points) The following function is a norm x = x 1 x 2 x 3 R 3 , k x k = | x 1 + x 2 | + | x 1 - x 2 | + | x 3 | . Write a Matlab code to compute the norm for the vectors x = 1 2 7 y = 1 2 1 . Output, in ASCII format, the norms in normX.dat and normY.dat. 2. (10 points) Write a Matlab code to compute the angle in degrees, with the Euclidian inner product, between the following pairs of vectors (a) 1 0 , 1 1 . Save, in ASCII format, the angle in degrees in Angle_1.dat (b) 1 2 3 4 , 4 3 2 1 . Save, in ASCII format, the angle in degrees in Angle_2.dat (c) Reset the random generator to its 2nd state with the command “rand(’state’, 2);”. Set
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