Quiz I, Math 371, 14 February, 2008
Name:
Solutions
ID:
1. (10 points): Consider a set of 6 coordinates cfw_(xi , yi)| i = 1, . . . , 6, with hk =
xk+1 xk = h, for k = 1, . . . , 5, where h is a positive constant. Write down the
rst and last equations for
Lab 5
Due March 28, 2008
1) Write a Matlab function that uses the "Economy" QR factorization to solve the over
determined linear system Xb = y, where X is m x n, b is n x 1 and y is m x 1,
where m > n. (If X has n linear independent columns then X = QR, w
Lab 4
1) Once again, Tennessee Jones, our intrepid archeologist and explorer needs your help.
A super secret squirrel spy has stolen a priceless artifact, and it's up to Dr Jones to
retrieve it. He knows that the spy will meet with his contacts at locatio
Midterm Exam, Math 371
13 March, 2008
Name:
Solutions
ID:
1. (20 points): Let x Rn . Show that
x
x
2
nx
.
Solution: If x = 0 then the inequality is trivial, because any norm of 0 is 0.
Suppose x = 0, then not all entries of x are 0. There is some index k