Math 304-2 - Linear Algebra - Spring 2010 - Homework


You should do these homework problems immediately after the corresponding material is covered in class. In fact, it is a good idea to read the current section and look over the assignment before class.
Do not fall behind. You need to practice techniques and become familiar with ideas when they are first introduced, since they will be used many times in the rest of the course. If you have trouble understanding something then you should try doing more than the assigned problems on the subject.
Some homework problems are labeled as "(x)n" for problem #n in exercise group (x). For example, problem (3)1 is on page 10. Some are labeled as "Sc n" for problem #n in the Supplementary Exercises for Chapter c. For example, problem S1 3 is on page 46.
Supplementary exercises may be added to homework assignments. These should always be turned in with the other problems unless specifically told otherwise.

Homework 1 - Due Monday Feb. 1, 2010
  • Chapter 1.1: (1)1.
  • Chapter 1.2: (2)1, (3)1, (4)1.
  • Chapter 1.3: (5)1, (6)1, 7(1).
  • Supplementary Exercises (HW 1). ← Solutions.

    • Extra practice problems for week 1 (NOT TO TURN IN)
  • Chapter 1: S1 2, S1 4, S1 6, S1 9, S1 10, S1 14.

    • Homework 2 - Due Monday Feb. 8, 2010
  • Chapter 1.4: (8)1.
  • Chapter 1.5: (9)1.
  • Chapter 1.6: (10)1, (10)2, (10)3, (10)4, (10)5, (10)6, (10)7.
  • Chapter 1: S1 17, S1 18, S1 20.
  • Chapter 2.1: (14)1, (14)2, (14)3, (14)4.
  • Supplementary Exercises (HW 2). ← Solutions.

    • Homework 3 - Due Wednesday Feb. 17, 2010
  • Chapter 2.2: (15)1, (15)2, (15)3, (15)4, (15)5, (15)6, (15)7, (15)8.
  • Chapter 2.4: (17)1.
  • Chapter 2.5: (18)1, (20)1, (20)2, (20)3.
  • Chapter 2.6: (21)1, (21)2, (21)3, (21)4, (21)5. ← Examples/Solutions to (21)1 and (21)5. & Solution to (21)2.
  • Chapter 2: S2 2, S2 4, S2 5a.

    • Homework 4 - Due Wednesday Feb. 24, 2010
  • Chapter 2.7: (22)1, (22)2, (22)3, (22)4, (23)1, (24)1, (24)2, (25)1, (25)2, (25)3, (26)1, (26)2.
  • Chapter 2.8: (27)1, (27)2.
  • Chapter 2: S2 8, S2 9, S2 10, s2 12.

    • Homework 5 - Due Thursday Mar. 4, 2010
  • Chapter 3.2: (31)1, (31)2, (32)1, (32)2, (33)1.
  • Chapter 3.3: (34)1, (35)1, (35)2, (35)3, (36)1, (36)2, (36)3, (36)4, (36)5.
  • Chapter 3: S3 1, S3 2.
  • Supplementary Exercises (HW 5). ← Solutions.

    • Homework 6 - Due Monday Mar. 15, 2010 (A.K.A. "The Ides of March Homework")
  • Chapter 3.4: (37)1, (38)1.
  • Chapter 3.5: (39)1, (39)2, (39)3, (39)4, (39)5.
  • Chapter 3.6: (40)1, (41)1, (42)1, (42)2, (42)3, (42)4.
  • Chapter 3: S3 3, S3 4, S3 5, S3 6, S3 7, S3 9, S3 11, S3 13, S3 14.
  • Supplementary Exercises (HW 6). ← Solutions.

    • Homework 7 - Due Wednesday Mar. 24, 2010
  • Chapter 3.6: (43)4a, (43)4b.
  • Chapter 3: S3 22, S3 23, S3 24, S3 25, S3 26, S3 27, S3 28, S3 29, S3 30, S3 31 (These problems are important. Make sure you understand them.)
  • Supplementary Exercises (HW 7).

    • Homework 8 - Due Monday Apr. 12, 2010
  • Chapter 4.2: (45)1.
  • Chapter 4.3: (46)2.
  • Chapter 4: S4 3, S4 4, S4 5, S4 6.
  • Supplementary Exercises (HW 8). ← Solutions.

    • (NOT TO TURN IN) Homework 8 Continued... (NOT TO TURN IN)
  • Chapter 4.2: (45)2, (45)3.
  • Chapter 4.3: (46)1.
  • Chapter 4: S4 1, S4 2.

    • Homework 9 - Due Wednesday Apr. 21, 2010
  • Problems X10, X11, X12, X13, X14 found here. ← Solutions to X10, X12.

    • (NOT TO TURN IN) Homework 9 Continued... (NOT TO TURN IN)
  • Chapter 4.6: (49)1.
  • Chapter 4.7: (50)1, (50)2.
  • Chapter 4.8: (51)1, (51)2, (52)1, (52)2, (52)3, (52)4, (52)5.
  • Chapter 4: Do as many supplementary problems as possible!
  • Problem X9 found here.

    • Homework 10 - Due Wednesday Apr. 28, 2010 (BUT FINISH THIS BY MONDAY! The material on this homework will be on the exam!)
  • Chapter 4.8: (54)3.
  • Chapter 5.2: (56)1, (58)1.
  • Chapter 5: S5-1, S5-2, S5-4, S5-5, S5-6.
  • Problem X15 found here.

    • (NOT TO TURN IN) Homework 10 Continued... (NOT TO TURN IN)
  • Chapter 4.8: (54) All of these.
  • Chapter 4: S4-18, S4-20, Try to finish all of the supplementary problems.
  • Problem X16, X17, X18, X19, X20, X21 found here.

    • Homework 11 - Due Thursday May 6, 2010
  • Chapter 5.3: (60)1(b), (60)1(c), (60)1(g), (60)1(i), (60)1(j), (61)1(only do this for the matrices in (60)1 parts (b), (c), (g), (i), (j)), (62)1(only do this for the matrices in (60)1 parts (b), (c), (g), (i), (j))
  • Chapter 5: S5-8, S5-9(a), S5-9(b), S5-9(e), S5-9(f).

    • (NOT TO TURN IN) Homework 11 Continued... (NOT TO TURN IN)
  • Chapter 5.3: Finish (60)1, (61)1 and (62)1.
  • Chapter 5: Finish S5-9, S5-10.

    • (Do these before the final exam) Homework 12 (NOT TO TURN IN)
  • Chapter 6.1: (64)1, (65)1-6.
  • Chapter 6.2: (66)1-2, (67)1, (68)1,2(Hint: check that the basis is orthogonal), (69).
  • Chapter 6: I would suggest doing all of the supplementary problems but if you are in a real hurry do the following: S6-3, S6-6, S6-10, S6-15.
  • Problem X22 found here.