Week 2 : January 9-13

Monday, January 9

  • Subspaces
Tonight’s Homework
  • Read Section 1.3
  • Homework: Section 1.3 # 2, 4, 5, 8, 10

Tuesday, January 10

  • More on subspaces
  • Practice Quiz
Tonight’s Homework
  • Read Section 1.3
  • Homework: Section 1.3 # 11, 13, 23
  • Describe all subspaces of R^2. Describe all subspaces of R^3.


Wednesday, January 11

  • More on subspaces
Tonight’s Homework
  • Read Section 1.3
  • Homework: Section 1.3 # 1, 20, 30
  • Homework: Let V be the vector space R^2.
    (a) Prove or disprove: the set of vectors (x,y) in V satisfying x =2y is a subspace.
    (b) Prove or disprove: the set of vectors (x,y) in V satisfying xy=0 is a subspace.

Friday, January 13

  • Linear combinations and span
  • Systems of linear equations
Tonight’s Homework
  • Read Section 1.4
  • Homework: Section 1.4 # 2 a,c,e; 3 a, c, e; 4 a, c, e: 5 a, c, e