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M340L EXAM 2B 11:00
Your name:
FALL, 2010
Dr. Schurle
Your UTEID:
Show all your work on these pages. THIS SHOULD ALWAYS INCLUDE AN INDI
CATION OF HOW YOU OBTAINED YOUR RESULTS! Be organized and neat. Your
work should be your own; there should be no talking, reading notes, checking laptops, using
cellphones, .
. . .
1. (12 points) Suppose
x
is a variable scalar and
A
is the matrix
3
3

x
4
7
2
0
0
4

x
7

x
0
0
0
7
3
2

x
120
.
(a) Compute and simplify the determinant of
A
. DO NOT USE A CALCULATOR,
EVEN IF YOU COULD!
(b) For what values of
x
is the above matrix
A
singular, that is, NOT invertible?
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View Full Document YOUR SCORE:
/100
2. (20 points) State whether each of the following statements is true (T) or false (F). If
the given statement is false, then give a true statement as similar as possible to the
given one.
(a) A subspace is also a vector space.
(b) In some cases, the linear dependence relations among the columns of a matrix can
be aﬀected by certain elementary row operations on the matrix.
(c) For square matrices
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This note was uploaded on 06/15/2011 for the course M 340L taught by Professor Pavlovic during the Fall '08 term at University of Texas at Austin.
 Fall '08
 PAVLOVIC
 Linear Algebra, Algebra

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