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