# Linear Algebra with Applications

This preview shows pages 1–3. Sign up to view the full content.

Math 20F - Linear Algebra Midterm Examination #1 - ANSWERS February 5, 2003 Write your name or initials on every page before beginning the exam. You have 50 minutes. There are six problems. You may not use notes, textbooks, or other materials during this exam. You must show your work in order to get credit. Good luck! Name: Student ID: Tuesday section time: I II III IV V VI Total

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

View Full Document
Name: 2 The first problem asks you to circle all the correct answers. In each case, there are four possibilities (a)-(d). You should circle each of (a)-(d) that is a correct answer. This could be none of them, or one, or two, or three, or all four of them. I. For this problem, A , B and C are arbitrary, non-singular matrices. 1. ( ABC ) - 1 must be equal to which of the following? (a) C - 1 B - 1 A - 1 (b) ( BC ) - 1 A - 1 (c) ( C T B T A T ) - 1 (d) A - 1 B - 1 C - 1 ANSWERS: (a) and (b) 2. det( A T B ) must equal which of the following? (a) det( A )det( B ) (b) det( B ) det( A ) (c) det( A - 1 )det( B ) (d) det( B ) det( A - 1 ) ANSWERS: (a) and (d) 3. A - 1 AB must equal which of the following?
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