CSE 3380 Homework #1
Assigned:
Due:
Monday, January 25, 2016
Monday, February 1, 2016 at 3:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
Assignment:
Process
1. Use Gauss-Jordan elimination to

18. Produce the coefficient matrix A for the following system of equations and determine
if A1 exists. If so, use ~x = A1~b to solve for ~x.
x1 x2
= 3
x2 x3 = 1
x3 = 2
19. If A has dimensions n p and B has dimensions p q, show why (AB)T = B T AT .
Hint: t

14. For each of the relationships below, produce A using the matrices given. Dont leave it
in the symbolic form. For example, if the relationship is A = BC, you should produce
A with actual values:
9 13 14
A= 3 3 3
3 5 5
If you simplify the relationships

8. Find the matrix B of the linear transformation T (~x) = A~x with respect to the basis
B = (v~1 , , v~n ) where
3
1
2 1
,
v~2 =
;
v~1 =
A=
0
2
0 1
Use B = [T (~v1 )]B
[T (~vn )]B .
9. Find the orthogonal projection of
14/3
14/3
14/3
14/3
onto th

25. Find the LU decomposition for each of the following matrices if possible. If it is not
possible to produce the LU decomposition, find the determinant of the matrix. Make
sure to write the LU decomposition as separate L and U matrices.
1 2 1
1
1 4
2
0

33. (25 points) Find the singular value decomposition of
2 1
A=
1 2
34. (25 points) Find the QR decomposition of
1 2
A= 2 3
2 2
35. (15 points) We have vectors ~x, ~v , ~u Rn , where ~u is produced by normalizing ~v . Show
why
~x ~v
(~x ~u)~u =
~v
~v ~v

linear algebra
old exam problems
1. Find a polynomial of degree 2 whose graph goes through the points (1, 5), (2, 15), and
(-1, 9).
2. For two invertible nn matrices A and B, show why (or why not) each of the following
expressions is necessarily true.
(a)

CSE 3380 Homework #6
Assigned:
Due:
Tuesday, October 13, 2015
Tuesday, October 20, 2015 at 4:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
2. Problems from the textbook are given in the form c

CSE 3380 Homework #3
Assigned:
Due:
Monday, February 8, 2016
Monday, February 15, 2016 at 3:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
2. If your submission has more than one page, staple t

CSE 3380 Homework #5
Assigned:
Due:
Monday, February 22, 2016
Wednesday, March 2, 2016 at 3:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
2. If your submission has more than one page, staple t

CSE 3380 Homework #4
Assigned:
Due:
Monday, February 15, 2016
Monday, February 22, 2016 at 3:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
2. If your submission has more than one page, staple

CSE 3380 Homework #6
Assigned:
Due:
Wednesday, March 2, 2016
Wednesday, March 9, 2016 at 3:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
2. If your submission has more than one page, staple th

CSE 3380 Homework #7
Assigned:
Due:
Wednesday, March 9, 2016
Wednesday, March 23, 2016 at 3:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
2. If your submission has more than one page, staple t

CSE 3380 Homework #8
Assigned:
Due:
Wednesday, March 23, 2016
Monday, April 4, 2016 at 3:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
2. If your submission has more than one page, staple the

CSE 3380 Homework #9
Assigned:
Due:
Monday, April 4, 2016
Monday, April 11, 2016 at 3:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
2. If your submission has more than one page, staple the pag

MATH 1301
Contemporary Mathematics
Month 00 Month 00, 20*
Math 1301 Contemporary Mathematics
Section 004
Course Instructor
Mrs. Sarah Hawkins
sarah.hawkins@uta.edu
The instructor will respond to email inquiries within 24-48 hours.
Mentis Faculty Profile:

CSE 3380 Homework #1
Assigned:
Due:
Thursday, September 3, 2015
Thursday, September 10, 2015 at 3:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
2. Problems from the textbook are given in the f

CSE 3380 Homework #7
Assigned:
Due:
Tuesday, October 20, 2015
Tuesday, October 27, 2015 at 4:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
2. Problems from the textbook are given in the form c

CSE 3380 Homework #2
Assigned:
Due:
Monday, February 1, 2016
Monday, February 8, 2016 at 3:50pm (the end of class)
Note the following about the homework:
1. You must show your work to receive credit.
2. Problems from the textbook are given in the form cha