This introduction to linear algebra features intuitive introductions and examples to motivate important ideas and to illustrate the use of results of theorems.

1. Linear Equations.

2. Vector Spaces.

3. Linear Transformations.

4. Polynomials.

5. Determinants.

6. Elementary canonical Forms.

7. Rational and Jordan Forms.

8. Inner Product Spaces.

9. Operators on Inner Product Spaces.

10. Bilinear Forms.