Linear Algebra

Homework

• Homework #1, due Thursday, September 4th:Introduction

Read all of chapter 1 (all except the last section should be review for most of you)

Problems in chapter 1:

• section 1: 2, 8, 15, 23, 25.
• section 2: 1, 2, 7, 13, 16.
• section 3: 4, 5, 8, 10, 12, 13, 18.
• section 4: 1, 9, 15, 16, 17.

• Homework #2, due Thursday, September 11th: Gaussian Elimination

Read chapter 2, sections 1-3

Problems in Chapter 2:

• section 1, p. 43-46: 3, 5, 6, 11, 12, 21, 22.
• section 2, p. 52-55: 3, 4, 11, 13, 16, 17, 25.
• section 3, p. 61-66: 12, 18, 19, 21.

• Homework #3, due Thursday, September 18th: Inverses and Permutations

Read chapter 2, sections 4-6

Problems in Chapter 2:

• section 4, p. 73-76: 1, 2, 4, 7, 15, 17, 22, 26.
• section 5, p. 84-88: 3, 9, 11, 12, 14.
• section 6, p. 97-102: 2, 9, 21, 23.

• Homework #4, due Thursday, September 25th: Vector Spaces

Read chapter 3, sections 1-4

Problems in Chapter 3:

• section 1, p. 109-111: 10, 12, 13, 17, 19, 22.
• section 2, p. 121-124: 1, 15, 19, 20, 21.
• section 3, p. 132-136: 2, 5, 17, 21.
• section 4, p. 146-149: 1, 2, 13, 17, 21, 27, 30.

• Homework #5, due Thursday, October 2nd: The Four Subspaces

Read chapter 3, section 5, and chapter 4, section 1

Problems in Chapter 3:

• section 5, p. 156-159: 2, 6, 14, 16, 20, 23, 28.

Problems in Chapter 4:

• section 1, p. 167-168: 4, 9, 13, 18, 21.

Midterm 1 on October 9th

• Homework #6, due Thursday, October 16th: Review of material that gave you trouble on the first midterm

Re-read chapter 3, sections 2-4

Problems in Chapter 3 (note that 27 in section 4 had been previously assigned, but I did not ask you to turn it in):

• section 3, p. 132-136: 1, 3, 6, 33.
• section 4, p. 146-149: 27,34, 37, 38.

• Homework #7, due Thursday, October 23th: Least squares and Gram-Schmidt

Read chapter 4, sections 2-4

Problems in Chapter 4:

• section 2, p. 176-178: 1, 3, 11, 17, 19, 20, 21, 25, 27.
• section 3, p. 186-188: 1, 2, 3, 4, 6, 9, 10, 12-15.
• section 4, p. 197-200: 4, 5, 6, 8, 9, 13, 15, 21, 22.

Midterm 2 on Tuesday, October 28

• Homework #8, due Thursday, November 6th: Determinants

Read chapter 5, sections 1-3

Problems in Chapter 5:

• section 1, p. 207-210: 2, 4, 5, 6, 9, 13, 15, 23.
• section 2, p. 218-222: 1, 8, 10, 11, 14, 20.
• section 3, p. 233-236: 1, 4, 6, 9, 12, 13, 15, 17, 25, 26, 27.

Midterm 3: Thursday, November 13

• Homework #9, due Thursday, November 20th: Eigenvalues and Eigenvectors

Read chapter 6, sections 1-2, 4-5. Those of you who have taken, or are taking, ODE should also read section 3.

Problems in Chapter 6:

• section 1, p. 244-247: 9, 10, 13, 14, 15, 20, 26.
• section 2, p. 256-260: 1, 7, 8, 12, 14, 19, 20, 24, 34, 35.
• section 4, p. 280-282: 4, 5, 22.
• section 5, p. 290-294: 10, 14, 15, 17, 22, 25, 26.

• Homework #10, due Thursday, December 4: Linear Transformations

Read chapter 7, sections 1-3

Problem in Chapter 6, section 6, page 301: 15

Problems in Chapter 7:

• section 1, p. 307-309: 1, 3, 8, 13, 14.
• section 2, p. 316-320: 5, 6, 8, 10, 11, 12, 15, 27, 32.
• section 3, p. 333-335: 1, 2, 3, 7, 8, 9, 17, 18.

Final on December 18th, 9:10-12

Last Updated on November 21, 1997