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 R^{3} 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).