Math 4305, Topics in Linear Algebra, Georgia Tech
Spring 2008
A. D. Andrew
Assignments

Due Date Assignment Solutions team
18 January 2008

1.3: 11, 12, 24, 30
1.4: 2, 3, 5, 20, 46
1.5: 4, 11, 15
1.6: 1, 2, 6, 50
2.1: 2, 3

Evans, Reyna, Thoenes

Solutions

25 January 2008

2.1: 7abcd, 8, 9, 25, 26
2.2: 2, 5, 24, 25
2.3: 13, 16, 20abc, 26
2.6: 3, 6

Ahmed, Laitrakun, Teeyapan

Solutions

1 February 2008

2.6: 7, 17, 50
2.4: 3, 8, 10, 11
3.1: 4, 5, 12
3.2: 3, 5, 12

Ba, Ndiour, Verma, Watts

Solutions

8 February 2008

3.3: 1, 6, 7, 13, 25, 41
3.4: 5, 14, 15, 16, 25

Rast, Rauch, Vidal, Zimmer

Solutions

22 February 2008

4.2: 4, 7, 11, 18A
4.3: 6, 34
5.1: 1, 2, 3, 5, 11, 23
5.2: 3, 5, 8, 11, 15, 19

Balachandran, Chandrasekaran, Padala

Solutions

29 February 2008

5.3: 2, 4, 8, 27, 29
5.4: 1, 14, 38
5.5: 6, 7, 11 PQ, 12

Brown, Nailor, Williams

Solutions

7 March 2008

5.5: 18
5.6: 8, 11, 16, 20, 22, 29, 35
6.1: 1, 2, 9, 14
6.2: 2, 4, 5, 7

Ausley, Joshi, Karandikar, Kingston

Solutions

28 March 2008

6.2: 11, 12, 21
6.3: 2, 5, 15BC, 18 (both suggested methods), 23

Do two steps of the Jacobi Algorithm to diagonalize
        [1 2 3]
        [2 2 4]
        [3 4 1]

Brandt, Hopke, Jung, Ward

Solutions

4 April 2008

6.4: 1, 7, 8
7.2: 1, 2, 3, 5, 13
7.3: 11. Please note that the subscript
k + 1 should be an exponent.

Chandler, Lowther, Staskevicius

Solutions

11 April 2008

A. 7.4: 4, 11
B. For each of these systems of linear equations
        a. Solve the system by Gaussian elimination
        b. Determine whether the Jacobi iteration converges, and if so, do two iterations, beginning with x = y = z = 0
        c. Determine whether the Gauss-Seidel iteration converges, and if so, do two iterations, beginning with x = y = z = 0

        2x - y + z = -1
        2x + 2y + 2z = 4
        -x - y + 2 z = - 5

        x + 2 y - 2 z = 7
        x + y + z = 2
        2 x + 2 y + z = 5

Elton, Stewart, Walker

Solutions