{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# HW4 - 4 Exercise 6.1 Chapter 6 of Trefethen-Bau 5 Consider...

This preview shows page 1. Sign up to view the full content.

Math 104 Fall 2009 Homework 4 Due Wednesday, October 28, 2009 1. Exercise 3.5, Chapter 3 of Trefethen-Bau. 2. Let U be an m × m arbitrary unitary matrix. Show that k UA k 2 = k A k 2 and that k UA k F = k A k F . Deduce from this that we also have k AV k 2 = k A k 2 and k AV k F = k A k F , where V is an n × n (arbitrary) unitary matrix. 3. Exercise 5.3, Chapter 5 of Trefethen-Bau.
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 4. Exercise 6.1, Chapter 6 of Trefethen-Bau. 5. Consider the square matrices A and B = A + μI for some scalar μ ∈ C . How do the eigenvalues and eigenvectors of B relate to those of A ? 1...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern