EE103 HW4 - EE103 HW 4 Winter 2009 Prof S E Jacobsen EE103...

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EE103, HW 4, Winter 2009, Prof. S. E. Jacobsen Page 1 / 4 EE103 Applied Numerical Computing, Winter 2009 HW 4 Due: 2/24/09 Your HW answers must contain your ID, Last Name, First Name, and the number of the Discussion Section in which you are enrolled. Class: The purpose of HWs is absolutely NOT for the mere assignment of grades. The purpose of HW assignments is to engage the student in the process of learning the material of the course and the material that the instructor believes to be instructive. As such, your work should be your own and reflect your effort in the learning process. As a result, you are not to consult the notes, HWs, HW solutions, etc., of other courses or past offerings of this course. Of course, you may discuss the material of this course with other students of this class; however, your work must be your own. Prob 1 (Tutorial): Consider the data It has been decided to fit a 7 th degree least squares approximating polynomial (an algebraic polynomial) to these data. The “x” components can be considered to be “time points” at which the “y” values were observed. (a) Note that X=[x.^7 x.^6 x.^5 x.^4 x.^3 x.^2 x ones(length(x),1]. Alternatively, one can also derive X via the Matlab commands: X=vander(x); X=X(: , n-deg:n); where deg=7 and n is the number of columns in the original X (i.e., 10). What is cond(X)? What is cond(X’X)? (use Matlab’s “cond”).
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