# Class Notes (as of 11dec02)

I'll try to keep up with the class lectures. In fact, the left bottom corner of each page of the notes shows the date that material was last changed, to help you update your own copy as you or I find things to complain about.

Comments by email, particularly questions and complaints about errors, are welcome.

• table of contents (subject to change), in postscript, in pdf
• overview, in postscript, in pdf
• chapter 1: sets, assignments, lists, and maps, in postscript, in pdf
• chapter 2: vector spaces and linear maps, in postscript, in pdf
• chapter 3: Elimination, or: the determination of null(A) and ran(A), in postscript, in pdf; updates: pages 35-38 (25sep), pages 39-41 (30sep), page 35 (26oct)
• chapter 4: The dimension of a vector space, in postscript, in pdf; updates: page 56 (16oct and 26oct)
• chapter 5: The inverse of a basis, and interpolation, in postscript, in pdf
• chapter 6: Inner product spaces, in postscript, in pdf; updates: pages 69-72 (1-3nov), pages 73-74 added (will skip page 74), pages 68 + 74 (10nov).
• chapter 7: Norms, map norms, and the condition of a basis, in postscript, in pdf; (will skip this to begin with; but note that it contains page 82, the first page of chapter 8).
• chapter 8: Factorization and rank, in postscript, in pdf;
• chapter 9: Duality in postscript, in pdf; (we will skip this chapter, but it wouldn't hurt to look at it :-)
• chapter 10: The powers of a linear map and its spectrum, in postscript, in pdf; updates: page 110 (16nov), 103 (21nov).
• chapter 11: Convergence of the power sequence, ps, pdf; updates: page 114 (25nov), page 119 (30nov).
• chapter 12: Canonical forms, ps, pdf.
• chapter 13: Localization of eigenvalues, ps, pdf.
• chapter 14: Some applications, ps, pdf.
• chapter 15: Optimization and quadratic forms, ps, pdf.
• chapter 16: More on determinants, ps, pdf.
• a list of terms and facts you are familiar with by now (14dec02), in postscript, in pdf
• background, on complex numbers, convergence, etc; in postscript, in pdf.
• (rough) index; in postscript, in pdf