Math 417
Final Study Guide
Winter 2008

Content

The exam will emphasize Chapters 6 (Sections 1,2) and 7; but it will include material from Chapter 5 (Sections 1,2). Solutions to the odd problems (including True/False problems) can be found on Otto Bretscher's website:

http://www.colby.edu/personal/o/obretsch/ssm/

Chapter 5: Orthogonality

Review material from Section 1 and Section 2 (Gram-Schmidt process); you will need to be able produce orthonormal bases using the Gram-Schmidt process. Review properties of the transpose of a matrix, especially Fact 5.3.9. The exam will not cover orthogonal matrices from Section 3.

Chapter 6: Determinants

The exam covers Section 1 and 2 only.

Chapter 7: Eigenvalues and Eigenvectors

The exam covers all sections.