MAT224H1 Lecture Notes - Lecture 2: Scalar Multiplication, Fisheries College And Research Institute
Document Summary
Def a v s and suppose we v. Let u be then w is a vector subspace of u if w is a by itself under. W inherits the structure from v same operations as v s v functions on r with point wise defined. Ei fcue space of in the eg f g lo co. Cf check that air obvious way f co. Cfcro f is a us gcio over the r. R f f r s r l f is continuous cts cts. Scalar x cts is cts cts is check that c cr is a vis with. R l the kth derivative of f exists and is cts f f r. In fact ck ck e when k 31 l r when k t. A no since is not defined at 0. Fact ck ck is a vector subspace of furs for any k o l z v s and w e v nonempty.
