Midterm_sample

# Midterm_sample - MAE 107 Computational Methods Summer...

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

MAE 107 – Computational Methods Summer Session II 2009 Midterm sample Guidelines : This is a closed book and closed notes exam. No calculator or computer allowed . Clearly explain your answers to each of the question and write your solution neatly. Detail all necessary intermediate steps and clearly identify your final answers (e.g. box them in). Do not forget to put your name and student ID on your test and staple/attach all the pages together. Problem 1 Write a short Matlab function that takes only one argument n and returns the factorial of n for n 0 (remember the convention 0! = 1). Problem 2 Consider the matrix A = 2 - 1 3 - 2 - 2 - 2 2 - 7 4 . 1. Obtain the LU decomposition of A using Gauss elimination without partial pivoting. 2. Using this decomposition, compute the determinant of A . 3. Using the LU decomposition, compute the matrix Y = A - 1 . 4. Check your result using the direct formula for the inverse of a square matrix.

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