{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

1502Test3

# 1502Test3 - Name Teaching Assistant Math 1502J Andrew 20...

This preview shows pages 1–2. Sign up to view the full content.

Name 20 Aprl 2006 Teaching Assistant Hour Test 3 Math 1502J Andrew Instructions: 1. Closed book. 2. Show your work and explain your answers and reasoning. 3. Calculators may be used, but pay particular attention to instruction 2. To receive credit, you must show your work. Unexplained answers, and answers not supported by the work you show, will not receive credit. 4. Express your answers in simplified form. 1. (25) Find a basis for the image and a basis for the kernel of the matrix - = 3 0 2 2 1 2 2 1 0 0 4 0 3 4 2 1 0 1 2 1 A . Compute the dimension of the image and the dimension of the kernel. 2. (25) Find the QR factorization of the matrix = 4 2 1 0 2 2 2 0 1 A by applying the Gram- Schmidt process to the columns of A . 3. (25) A matrix A has QR factorization - - - - = = 1 0 3 2 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 R Q A .

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 ]}

### 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