Exam 3, March 8, 2014
Exam 3
Linear Algebra, Dave Bayer, March 8, 2014
Name:
Uni:
[1]
[2]
[3]
[4]
[5]
Total
If you need more that one page for a problem, clearly indicate on each page where to look next for
your work.
[1] Find the determinant of the matrix

2
1

3
3
2
1
4
3
3
1
5
4

3
1

6
9
Exam 3, March 8, 2014
[2] Find the inverse of the matrix


0 2 1
3 0 2
1 1 0
Exam 3, March 8, 2014
[3] Find w/y where

0
1

1
2
1
0
1
1
1
1
0
1
 
 
0
w
a





1  x 
b
=
 c
1  y 
0
z
d
Exam 3, March 8, 2014
[4] Find An where A is the matrix
2 6
2 3
Your final answer should be in the form
An = rn B + sn C
Exam 3, March 8, 2014
[5] Find f(n), where f(n) is the determinant of the n × n matrix in the sequence
5
5 2
3 5


5 2 0
3 5 2
0 3 5
Your final answer should be in the form


5 2 0 0
3 5 2 0


0 3 5 2
0 0 3 5
f(n) = a rn + b sn
5
3

0

0
0

2
5
3
0
0
0
2
5
3
0
0
0
2
5
3

0
0

0

2
5