M 531 Fall 2003

HW #1 (due Friday, 5 September):

problem 5, page 19 from Linear Algebra textbook, and problem A below:

PROBLEM A.

If V is a vector space and U,W are subspaces of it, show that U+W is another subspace of V

Xcredit (due Monday 8 September):

P1: see handout about the example of R³ as a vector space.

P2: show that the set U of polynomials of degree m having z = 3 as root is a subspace of P_m(R).