Describe all subspaces of R^2. Describe all subspaces of R^3.
Wednesday, January 11
More on subspaces
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
Read Section 1.4
Homework: Section 1.4 # 2 a,c,e; 3 a, c, e; 4 a, c, e: 5 a, c, e