Textbook Sections

Problems

due

Chapter 1: R^{n}, axioms

1.A/ 9, 10, 12, 13, 14 (see Section 1A)

Wednesday, January 10. 
Chapter 1: complex numbers, first properties of spaces

1.A/ 7, 8; 1.B/ 1, 2, 3, 4

Wednesday, January 17. 
Chapter 1: examples, subspaces

1.B/ 6, 7; 1.C/ 1, 3, 5, 10

Wednesday, January 24. 
Chapter 1: subspaces, sums

1.C/ 4, 10, 12, 15, 16

Wednesday, January 31. 
Chapter 2: direct sums, spanning sets

1.C/ 14, 19, 20, 21; 2.A/ 1, 2

Wednesday, February 7. 
Chapter 2: direct sums, linear independence

1.C/ 18, 22, 23; 2.A/ 3, 4, 6

Wednesday, February 14. 
Chapter 2: linear independence

2.A/ 4, 8, 10, 11, 15, 16

Wednesday, February 21. 
Chapter 2: bases

2.A/ 13, 18; 2.B/ 1, 2, 3, 4

Wednesday, February 28. 
Chapter 2: basis and dimension

2.B/ 6, 7, 8; 2.C/ 1, 3, 4

Wednesday, March 13. 
Chapters 2, 3: dimension, linear maps

2.C/ 6, 7, 9, 11, 12; 3.A/ 1

Wednesday, March 20. 
Chapter 3: linear maps, range

3.A/ 2, 3, 4, 5, 6; 3.B/ 1, 2

Wednesday, March 27. 
Chapter 3: nullspace, range and equations

3.B/ 2, 3, 5, 6, 9, 10

Wednesday, April 3. 
Chapter 3: matrix of a linear map

3.B/ 9, 13, 19; 3.C/ 1, 2, 3, 4

Wednesday, April 10. 
Chapter 3: invertible linear maps

3.D/ 1, 2, 4, 11, 12, 14

Wednesday, April 17. 