2006 april 21 / e-mail me

# Math 104-01, Spring 2006 Schedule

The textbook is Linear Algebra: A Geometric Approach, by Shifrin and Adams.
LectureTopicProblems
1-2vectors1.1: 3ace, 4, 5, 7, 15, 17, 18, 20, 21
3-4dot product1.2: 1aeg, 2aeg, 3, 7, 10, 15, 17, 19
hyperplanes1.3: 1abd, 3abc, 5, 7, 10a, 11
5-7linear systems, Gaussian elimination1.4: 1, 3abcdef, 4bc, 6, 7, 8
existence of solutions, rank1.5: 1, 2ab, 3ab, 4a, 5b, 6, 8, 10, 12, 14
8-10applications1.6: 3, 5, 7, 8, 10, 11a, 12b
matrix operations2.1: 1, 2acf, 6, 7abc, 8, 9, 10abd, 11, 12, 13, 15, 19
11-13inverse matrices2.2: 1abd, 2abd, 4acd, 8, 10, 12, 13, 14, 19
transpose2.3: 1ajk, 2, 3, 4, 5, 6, 7, 9, 13abc, 16, 17a
14IN-CLASS EXAM
15-16subspaces of Rn3.1: 1abceg, 2acd, 4, 6, 8bd, 9, 10, 12, 13ab, 16, 20
17-19interlude: 3D computer graphics3D graphics handout; see also OpenGL Red Book Appendix G
linear independence3.2: 1, 2, 3ab, 4, 5, 6, 7, 11, 12, 13, 14
20-22basis and dimension3.3: 1, 2abc, 3, 4ac, 6, 7, 10, 13, 14
four fundamental subspaces3.4: 1abd, 4, 5, 7, 11, 12, 15, 16 and 3.5: 2
23-25abstract vector spaces3.6: 1, 2acd, 3acf, 4, 6ab, 8, 11a, 12, 13bc, 14ab
interlude: norms, relativity
26-28projection4.1: 1ab, 3, 4, 6, 8, 9, 11, 13
TAKE-HOME EXAM
orthogonal bases4.2: 2c, 3, 6, 7ab, 8a, 9a, 11, 12ab
29-31interlude: Fourier analysis
linear transformations4.3: 1, 3ac, 6, 7, 9, 10, 11, 13, 15, 17, 20
interlude: isomorphismsisomorphism handout
32-34change of basis4.4: 1b, 3, 4, 8, 12, 14, 15, 16, 17, 22
determinants5.2: 1abc, 2, 4, 5, 7, 9a, 11, 12
35-37cofactors, Cramer's rule5.3: 1, 2, 3, 5, 7, 8acf, 12a
characteristic polynomial6.1: 1adegjp, 2, 4, 8, 10, 11, 13ab, 14a
38-40diagonalizability6.2:
complex eigenvalues, Jordan canonical form7.1:
TAKE-HOME EXAM