Midterm 1, Math 33A, Fall 2005
October 24, 2005
Name:
Section (circle one):
1A
Alex Chen
Tuesday
1B
Alex Chen
Thursday
1C
Michael VanValkenburgh
Tuesday
1D
Michael VanValkenburgh
Thursday
Directions: Fill in your name and circle your section above. Do not turn the page until
instructed to do so. You have 50 minutes to complete the exam. No outside materials are
allowed; use only your brain and a writing instrument.
There are 3 problems; each is worth 10 points total. Extra scratch paper is included. If
your work on a problem appears on a different page, indicate clearly where it may be found.
Show all the necessary steps involved in finding your solutions, unless otherwise instructed.
In the interest of us not losing pages of your exam, please refrain from detaching pages from
the exam.
Good luck.
Problem
Score
1
2
3
Total
1
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1. Indicate whether each statement is true or false.
There is no need to justify your
answers here.
(2 pts) If rank
A <
rank [
A

b
], then the system of linear equations
Ax
=
b
must be
inconsistent.
T
F
T
.
If rank
A <
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 Fall '08
 lee
 Math, Linear Algebra, pts, Invertible matrix, Alex Chen Alex Chen Michael

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