Math 265 Linear Algebra
Instructor: Zecheng Zhang
Office: Math 415
Office hour: 1:30 pm to 4:20 pm Thursday. I may change my office hours but I will let you know. You can also email me to make an appointment.
The syllabus is available here. Additional information such as the office hours... can be found in this page.
The homework information is available here; we have one or two homeworks for each section, the due date is usually one week after the topic is discussed.
We use MyLab for the online homework and Gradescope for the written homework. The handwritten homework questions are here.
The tentive schedule is here schedule.
I will upload the class notes in this section.
Week 1, Jan 11 sec 1.1 (linear system) , sec 1.2 (rref) , sec 1.3 (vector equation) , sec 1.4 (equivalance theorems) .
Week 2, Jan 18 sec 1.5 (homogeneous and non-homog parametric solutions) , sec 1.7 (linear dependency) , sec 1.8 (transformation and the linear transformation basics)
Week 3, Jan 25 sec 1.9 (linear transformation, std matrix A, one to one, onto) , sec 2.1 (matrix operations, multiplication)
Week 4, Feb 1 sec 2.2 (inverse and equivalent theorem), sec 2.8 (subspace, basis, col and null space)
Week 5, Feb 8 sec 2.9 (dimension, rank, rank theorem, basis theorem and invertiable matrix theorem) , sec 3.1 (intro to det) ,
sec 3.2 EROs and det of a matrix
Week 6, Feb 15 sec 3.3 Crimer`s rule, transformation and area, Spring 2019 midterm 1 review (updated)
Week 7, Feb 23 sec 4.1, sec 4.2,
sec 4.3, sec 4.5
Week 8, Mar 1 sec 5.1 eigenvalue, sec 5.2 characteristic equation, similarity,
sec 5.3 diagonalization, two important theorems, sec 5.4 transformation and diagonalization
Week 10, Mar 21 sec 5.5 complex eigenvalue, sec 5.7 ODEs
Week 11, Mar 28 (Midterm 2 review) spring 2019 final review , fall 2019 final review
Week 12, April 5 sec 6.1 (inner product) ,sec 6.2 (orthonomral matrix theorem),sec 6.3 (orthogonal decomposition theorem, best approximation theorem) , sec 6.4 (Gram Schmidt, QR factorization)
Week 13, April 12 sec 6.5 (least square)
Week 14, April 19 sec 6.7 inner product, sec 7.1 symmetric matrix, final review part 1 (exam 2),
Week 15, April 16 final review part 1 (exam 2), final review part 2 (exam 1)