Suggested Homework

• 1.2 Vector Spaces (pp.13-15):
  1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 14, 15, 17
• 1.3 Subspaces (pp.19-23):
  1, 2, 3, 4, 5, 8, 10, 11, 13, 17, 20, 23, 24, 26, 30
• 1.4 Linear Combinations and Systems of lInear Equations (pp.33-34):
  1, 2ace, 3ace, 4ae, 5ace, 6, 8, 9, 10, 11, 12, 13, 15
• 1.5 Linear Dependence and Linear Independence (pp.40-42):
  1, 2(a)-(f), 3, 7, 8, 9, 10, 11, 12, 13, 14, 19, 20
  NOTE:
  * Problem 14 was done in class.
  * In a field of characteristic 2 we have 1+1=0.
  * Z₂={0,1} is the field of two elements:

     + | 0 1     * | 0 1
     -------     -------
     0 | 0 1     0 | 0 0
     1 | 1 0     1 | 0 1
  

• 1.6 Bases and Dimension (pp.53-55):
  1, 2(b), 3(c), 4, 5, 7, 11, 12, 14, 19,22,26.

Last update made Fri Sep 12 16:07:28 EDT 2014.