Linear Algebra

Spring 2003

College of the Atlantic

Homework 3

Section 2.6:

  1. 1
  2. 3
  3. 7
  4. 9
Section 2.7:
  1. 1
  2. 16
  3. 21
Section 3.1:
  1. 1
  2. 10
  3. 20
  4. 22
  5. Let F be the space of all maps from R to R.
    1. Show that the set E of even functions is a subspace of F.
    2. Show that the set O of odd functions is a subspace of F.
    3. Show that any function f in F may be written as a linear combination of an odd function and an even function.
Section 3.2:
  1. 1-4
  2. 9
  3. 16
  4. 14
  5. 17
  6. 18
  7. 24
Section 3.3:
  1. 3 (Use maple if you want)
  2. 14
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