Written Assignment # 3
Due Date: Friday, February 15th at the beginning of the lecture
Please write your work on a separate paper, and attach the assignment
pages with your name to the top. Make sure to show all your work. Please
keep a copy of your work for yourself, so that you can check you answers
after you turn in the assignment.
NOTE: There are
7
problems on
two
pages in this assignment.
NAME:
1) a) Determine whether the vectors [1
,
2
,
3
,
4]
,
[0
,
−
2
,
5
,
3]
,
[3
,
1
,
−
1
,
0]
,
and [10
,
12
,
5
,
13] are linearly independent.
b) Determine if the vector [1
,
2
,
3
,
4] is in
span
{
[3
,
1
,
−
1
,
0]
,
[10
,
12
,
5
,
13]
}
2) If
A
=
1
−
5
3
0
2
0
−
1
1
7
−
1
1
−
2
and
B
=
4
−
1
0
1
4
−
2
3
−
6
4
−
1
0
−
2
,
find
AA
T
, A
T
A, AB,
and
BA
3) If
A
=
0
2
1
0
0
0
1
3
0
0
0
4
0
0
0
0
,
find
A
2
, A
3
,
and
A
4
.
4) Use GaussJordan elimination to determine whether each of the fol
lowing matrices is invertible. If it is invertible, find its inverse:
a)
1
−
2
3
4
−
5
8
2
−
1
2
;
b)
1
0
3
2
1
−
1
2
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 WANG
 Vector Space, Vector Motors

Click to edit the document details