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M340L EXAM 2A 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
2

x
21
7
2
0
0
3

x
4

x
0
0
0
7
2
1

x
40
.
(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 DocumentYOUR 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) The (
i,j
)cofactor of a matrix
A
is the matrix
A
ij
obtained by deleting from
A
its
i
th row and
j
th column.
(b) If the columns of the square matrix
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 Fall '08
 PAVLOVIC
 Linear Algebra, Algebra

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