# Linear Algebra

#### Spring 2003

#### College of the Atlantic

#### Homework 3

**Section 2.6**:

- 1
- 3
- 7
- 9

**Section 2.7**:
- 1
- 16
- 21

**Section 3.1**:
- 1
- 10
- 20
- 22
- Let F be the space of all maps from R to R.
- Show that the set E of even functions is a subspace of F.
- Show that the set O of odd functions is a subspace of F.
- 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**:
- 1-4
- 9
- 16
- 14
- 17
- 18
- 24

**Section 3.3**:
- 3 (Use maple if you want)
- 14

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