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# Homework06 - U Washington AMATH 352 Winter 2010 Homework 6...

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U. Washington AMATH 352 - Winter 2010 Homework 6 - Due on 03/05/10 The first two exercises should be submitted via Scorelator (4 attempts per exercise are available). Remember to use the command save with the flag -ascii to output your results. Upload only your “.m” files. You will upload, at least, one file per exercise. 1. (10 points) We define the Moore-Pensore pseudoinverse as the matrix A = ( A T A ) - 1 A T . Write a main “.m” file to compute the Moore-Penrose pseudoinverse for the matrices A 1 = 1 0 - 1 - 1 0 1 (save in MPI_A1.dat), A 2 = 1 2 3 0 4 5 0 0 6 (save in MPI_A2.dat), A 3 = 1 1 1 (save in MPI_A3.dat). Submit your file(s) via Scorelator. 2. (10 points) The data are the total population of the United States of America. t b 1900 75.995 1910 91.972 1920 105.711 1930 123.203 1940 131.669 1950 150.697 1960 179.323 1970 203.212 1980 226.505 1990 249.633 2000 281.422 The task is to model the population growth and predict the population in 2010. The use of POLYFIT or any fitting function from Matlab is not allowed. You should solve the least- squares problems as seen in class. Using a degree 1 polynomial as model y α + βt , compute the population in 2010 and save it

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Homework06 - U Washington AMATH 352 Winter 2010 Homework 6...

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