MATH 245 Lecture Notes, with Exercises

Chapter 1. Affine Spaces, Convex Sets and Simplices	Exercises 1	Solutions 1
Chapter 2. The Dot Product and Orthogonal Projections	Exercises 2	Solutions 2
Chapter 3. Applications of Orthogonal Projection	Exercises 3	Solutions 3
Chapter 4. The Generalized Cross Product	Exercises 4	Solutions 4
Chapter 5. Inner Products	Exercises 5	Solutions 5
Chapter 6. Orthogonal Bases and Orthogonal Projection	Exercises 6	Solutions 6
Chapter 7. The Dual and Adjoint of a Linear Map	Exercises 7	Solutions 7
Chapter 8. Orthonormal Diagonalizations	Exercises 8	Solutions 8
Chapter 9. Bilinear Forms	Exercises 9	Solutions 9
Chapter 10. Quadratic Forms	Exercises 10	Solutions 10
Chapter 11. Tensor Algebras (Optional)
Chapter 12. Jordan Canonical Form	Exercises 12	Solutions 12
Appendix: MATH 146 Notes (incomplete)