Exam 3, November 19, 2013
Exam 3
Linear Algebra, Dave Bayer, November 19, 2013
[1] Find the determinant of the matrix

2
1

2
1
3
4
3
4

1
1

2
3
1
1
3
2
[2] Find the determinant of the matrix
2
1

0

0

0

0
0
3
2
1
0
0
0
0
0
3
2
1
0
0
0
b
1
0
0
c
1
1
0
 
 
d
w
a





1  x 
b
=
 c
1  y 

0
0
3
2
1
0
0
0
0
0
3
2
1
0
0
0
0
0
3
2
1

0
0

0

0

0

3
2
[3] Find x/y where

a
0

0
0
1
z
d
[4] Find the inverse of the matrix


2 1 3
1 2 0
1 3 0
[5] Find An where A is the matrix
2 −1
−4 −1