Math6643Fall2010ExamLatex

# Math6643Fall2010ExamLatex - Math/CSE 6643 Exam Fall 2010...

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Math/CSE 6643 Exam Fall 2010 Name: Put your name on all sheets now. 80 minutes, 8 questions for 80 points total. No calculators, electronic devices, books, or notes are permitted. Use a pen, put a box around your ﬁnal answers, and cross out anything that is not to be graded. No credit is given for answers without the reasoning that leads to them: show all work . If you need more space, continue onto the back (and write that you have done so at the bottom of the front side). 1. (10 points) Find the rank-one matrix which is the best approximant to A = ± 2 1 0 1 ² in the matrix 2 norm. 1

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Math/CSE 6643 Exam Fall 2010 Name: 2. (10 points) A is a real m -by- n matrix and B is a real n -by- p matrix. Find the dominant term in the number of ﬂops needed to compute the product AB , in terms of m , n , and p . 2
Name: 3. (10 points) (a) Let P be an orthogonal projector matrix. What are all possible eigenvalues of P ? Justify your answer.

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## This note was uploaded on 12/25/2011 for the course MATH 6643 taught by Professor Staff during the Fall '08 term at Georgia Tech.

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Math6643Fall2010ExamLatex - Math/CSE 6643 Exam Fall 2010...

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