Office hours: MW 2--5, TR 2--3 at LBV 321; email:
Textbook. (Use version 3.50.)
Spring 2016 course materials
Spring 2017 course materials

Day Readings Topics Photos Other Practice
Topics Tested
on Day
1 SSLE solving systems of linear equations zip SymPy Live pdf 11
2 RREF reduced row echelon form zip pdf 11
3 TSS; HSE types of solution sets;
homogeneous systems
zip Octave shell pdf 11
4 NM; VO nonsingular matrices;
vector operations
zip SageMathCell pdf 11
5 LC; SS linear combinations;
spanning sets
zip pdf 11
6 LI; LDS linear independence
and spans
zip pdf 11
7 LDS; O linear independence
and orthogonality
zip pdf 18
8 MO; MM matrix operations;
matrix multiplication
zip pdf 18
9 MISLE; MINM matrix inverses zip Q&A 1--6 (pdf) pdf 18
10 MISLE; MINM inverses; unitary matrices zip pdf 18
12 MINM; CRS unitary matrices; column spaces zip pdf 18
13 CRS; FS column, row, null, left null spaces;
extended echelon form
zip more examples (pdf) pdf 18
14 VS; S vector spaces and subspaces zip hand-out (pdf) pdf 24
15 LISS; B subspaces; bases zip pdf 24
16 LISS; B coordinates; orthonormal bases zip regression (xlsx)
solutions 7-13 (
pdf 24
17 B; D coordinates; dimension zip solutions 1-6 (pdf) pdf 24
19 DM; PDM determinants zip pdf 24
20 PDM; EE eigenvalues and eigenvectors zip pdf 24
21 EE; PEE eigenvalues and eigenvectors zip solutions 14-20 (pdf) pdf
22 PEE; SD diagonalization zip pdf
23 Q&A 14--20 zip
26 LT linear transformations zip pdf
27 ILT, SLT, IVLT injective, surjective, and
invertible transformations
zip pdf
28 CB, OD, Change of basis;
orthonormal diagonalization
zip pdf
29 Q&A zip solutions 21-28 (pdf)
Final Exam (3:30, May 15)
Plan ahead: the syllabus has the full semester schedule.