Linear Algebra
Homework
only turn in the boldface problems
- 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