Math 20 - Introduction to Linear Algebra and Multivariable Calculus
Problem Sets

Problem Set 1

Due Friday, February 11th

• §1.1 #14, 18, 26, 28
• §1.2 #6, 12, 14, 26, 30, 32
• §1.3 #4, 8

Solutions to PS 1

Problem Set 2

Due Friday, February 18th

• §1.3 #12, 14, 20, 22, 28, 34
• §1.4 #10, 12, 16, 22, 32, 34
• Question 3 and 4 on the Assignment Problem worksheet

Solutions to PS 2

Problem Set 3

Due Friday, February 25th

• §1.5 #6, 12, 16, 18, 22, 26, 38
• §1.6 #2, 4, 12, 14
• §1.7 #6, 8, 14

Solutions to PS 3

Problem Set 4

Due Friday, March 4th

• §1.7 #26, 30, 36, 38
• §1.8 #10, 14, 16, 18, 24, 30, 36
• §1.9 #6, 10, 14, 18, 28, 30, 32

Solutions to PS 4

Problem Set 5

Due Wednesday, March 9th

• §2.1 #10, 12, 14, 22, 24, 34
• Question 1, 2, and 3 on the Two-Person Zero-Sum Games worksheet

Solutions to PS 5 / Solutions to Zero-Sum Games Problems

Problem Set 6

Due Friday, March 18th

• §2.2 #12, 16, 20, 24, 30, 32
• §2.3 #4, 8, 12, 14, 28, 34
• §2.6 #4, 6, 8, 10
• §2.8 #8, 10, 24, 26, 32, 34

Solutions to PS 6

Problem Set 7

Due Monday, April 4th

• §2.9 #6, 8, 12, 14, 16, 22, 24
• §4.9 #4, 10, 14, 16, 18
• §5.1 #12, 16, 18, 20, 26, 32, 36

Correction: Some older printings of our textbook have an incorrect version of Exercise 22 in §2.9. The correct versions reads, "Show that a set {v₁, ..., v₅} in Rⁿ is linearly dependent if dim Span {v₁, ..., v₅} = 4."

Solutions to PS 7

Problem Set 8

Due Friday, April 8th

• §5.2 #8, 10, 16, 20, 24, 26
• §5.3 #2, 4, 6, 14, 20, 26, 28, 30

Solutions to PS 8

Problem Set 9

Due Friday, April 15th

• §5.6 #2, 4, 6, 18
• Linear Algebra with Mathematica worksheet

Please turn in your Mathematica work directly to Dr. Bruff. The problems from §5.6 should be turned in to our CAs as usual. Note that #18 requires use of Mathematica, but should still be turned in to our CAs.

Solutions to PS 9

Problem Set 10

Due Wednesday, April 20th

• §5.3 #10, 16, 22, 32
• §6.6 #2, 4, 6, 8, 18

Solutions to PS 10

Problem Set 11

Due Friday, April 29th

• LGR §9.1 #4, 6, 10, 14, 16, 21--26
• Linear Programming Problems

Solutions to PS 11