{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MIdtermFall2008Math6643

# MIdtermFall2008Math6643 - Math 6643 Midterm Exam Fall 2008...

This preview shows pages 1–5. Sign up to view the full content.

Math 6643 Midterm Exam Fall 2008 Name: 80 minutes, 5 questions for 50 points total. No calculators or notes permitted. Only the  textbook for the course and a pen is permitted. No credit is given for answers without the  reasoning that leads to them: show all work. If you need more paper, raise your hand. 1. (10 points) Let A = [ 1 1 ] . Compute the reduced SVD of A. Hint: consider the eigenvalue problem for A * A.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2. Let A = [ 2 1 ] . a. (6 points) Find the orthogonal projector onto the range of A . b. (4 points) Find x which minimizes b Ax 2 (a least squares problem), where b = [ 1 1 ] .
3. a. (12 points) Find the QR factorization of A = [ 1 0 1 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 5

MIdtermFall2008Math6643 - Math 6643 Midterm Exam Fall 2008...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online