THEORY OF MATRICES (41021/51021)

9:15am-10:30am Tuesday and Thursday in room 109 Mathematical Sciences Building.

Syllabus.

Also note:

Section Start Date 01/17/23; Section End Date 05/02/23; Last Day to Add 01/23/23; Last Day to Drop 01/30/23; Last Day to Withdraw 04/03/23.

Instructor
Book:
Remote "Office hours":
Office Phone:
E-mail:
WWW of the course :
Artem Zvavitch
"Linear Algebra" by Seymour Lipschutz and Marc Lipson.
10:45-12:00 Tuesday/Thursday, but the best is to e-mail me and to make an appointment.
(330)-672-33-16
azvavitc@kent.edu
www.math.kent.edu/~zvavitch/TM_2023.html

Please, note the calendar below is just a plan. Homework and Exams dates may be adjusted during the semester!

Date
Lecture Topics
Homeworks and Remarks
Tuesday (01/17/23)
Introduction to the class/ Definition of the Field/Axiomatic definition of the Vector Space
Thursday (01/19/23)
Vector Spece properties and outcomes of the definition/ Examples First Home Work
Tuesday (01/24/23)
Subspaces/Linear Combinations
Thursday (01/26/23)
Linear Span/ Row Space First Home Work is Due. Second Home Work
Tuesday (01/31/23)
Row Space/Linear dependance/Basis
Thursday (02/02/23)
Basis and Dimension Second Home Work is Due. Third Home Work
Tuesday (02/07/23)
Basis and Dimension
Thursday (02/09/23)
Row and Column spaces and the rank of a matrix. Third Home Work is Due. Forth Home Work. and here some BONUS problems to prepare you for exam.
Tuesday (02/14/23)
Sum and Direct sum of vector spaces
Thursday (02/16/23)
Exam 1 Forth Home Work is Due. Fifth Homework - with a lot of bonus problems!
Tuesday (02/21/23)
Direct Sume / Innear Product
Thursday (02/23/23)
Innear Product Fifth Home Work is Due. Sixth Home Work
Tuesday (02/28/23)
Innear Product and Orhogonality.
Thursday (03/02/23)
Orthogonal Basis & Projections. Sixth Home Work is Due. Home Work Seven
Tuesday (03/07/23)
More on orthogonal basis
Thursday (03/09/23)
Positive definite matrices and Orthogonal Matrices. Home Work Seven is Due. Home Work Eight
Tuesday (03/14/23)
Linear Maps!
Thursday (03/16/23)
Linear Maps! Image and Kernel. Home Work Eigh is Due. Home Work Nine, plus here some BONUS problems to prepare you for exam.
Tuesday (03/21/23)
image and Kernel, ASK QUESTIONS
Thursday (03/23/23)
Exam 2 Home Work Nine is Due.
Tuesday (03/28/23)
Spring Break
Thursday (03/30/23)
Spring Break
Tuesday (04/04/23)
Linear Operator
Thursday (04/06/23)
Let's change the basis!! Home Work 10.
Tuesday (04/11/23)
Change of Basis and Operators
Thursday (04/13/23)
Similar Matrices. Eigenvalues and Eigenvectors Home Work 10 is Due. Home Work 11
Tuesday (04/18/23)
Eigenvalues and Eigenvectors and Diagonalization.
Thursday (04/20/23)
Symmetric Matrices and Diagonalization. Home Work 11 is Due. Home Work 12
Tuesday (04/25/23)
Thursday (04/27/23)
Triangular form. Invariance. Home Work 12 is Due. Home Work 13 (Big, Final Exam Review)
Tuesday (05/02/23)
Nilpotent Operator. Jordan Form
7:45 - 10:00 a.m. May 5
FINAL EXAM Home Work 13 (Big, Final Exam Review) IS DUE

TO ARTEM ZVAVITCH'S HOMEPAGE