Linear Algebra
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CE282: Linear Algebra

Spring 2024, Group 1; Computer Engineering Department, Sharif University of Technology, Tehran, Tehran Province, Iran

Classes: Sundays and Tuesdays, 15:00-16:30, Hall 1

This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines. Linear algebra is a branch of mathematics that studies systems of linear equations and the properties of matrices. The concepts of linear algebra are extremely useful in image processing, computer vision, data science, machine learning, bio-informatics, social networks, and neuroscience. Due to its broad range of applications, linear algebra is one of the most widely taught subjects in college-level mathematics.

Syllabus    Course Roadmap


Instructors

Hamid R. Rabiee

Full Professor, Computer Engineering Dept.

Office CE804, CE803, and CE802
Tel +98 21 6606 9143, +98 21 6616 6683

rabiee@sharif.edu

Maryam Ramezani

PhD, Guest Lecturer

Office CE803 and CE802


maryam.ramezani@sharif.edu

Teaching Assistants

Naser Kazemi
Lead TA

naserkazemi2002@gmail.com

Hamidreza Alipour
TA

hmr.alipour@gmail.com

Mohammad Parsa Bashari
TA

m.p.bashari@gmail.com

Emad Emam Jome
TA

s.emad.emamjomeh@gmail.com

Reza Heidari
TA

r4heidari@gmail.com

Amirhossein Koochakian
TA

amirkoochk@gmail.com

Amirmohammad Kooshky
TA

kooshkya@gmail.com

Ashkan Majidi
TA

ashkan.majidi.1382@gmail.com

Romina Nobahari
TA

nobahariromina@gmail.com

Amirali Rostami
TA

amiralirostami99@gmail.com

Mohammaderfan Salima
TA

erfansalima@gmail.com

Shayan Shabani
TA

shayan.shabani5814@gmail.com

Arya Torabi
TA

arya.torabi2054@gmail.com

Diba Hadi Esfangareh
TA

diba.hadie@gmail.com

Mohammadjavad Ahmadpour
TA

mohamadahmadpour1383@gmail.com

Atena Chegini
TA

atenachegini8@gmail.com

Mahan Bayhaghi
TA

mahan.bayhaghi@gmail.com

Mahdi Alinejad
TA

mahdiali3804@gmail.com

Matin Mohammadi
TA

matin.mathematics@gmail.com

Abolfazl Soltani
TA

absoltani02@gmail.com

Soheil Nazari
TA

s.nazari80820@gmail.com

Alireza Mirrokni
TA

alirezamirrokni28@gmail.com

Sadegh Mohammadian
TA

sadegh803211@gmail.com

Mohammadaref Zare-Zade
TA

arefzarezade@gmail.com

Aryan Ansari
TA

arywnansari@gmail.com

Mahyar Afshinmehr
TA

mahyarafshinmehr@gmail.com

Mazdak Teymourian
TA

mazdak.tey@gmail.com

Ali Sadeghi
TA

a.sadeghiali@yahoo.com

Mohammadhossein Salimi
TA

mohosasal@gmail.com

Sara Karimi
TA

sarraah.karimi@gmail.com

Danial Hossein-Tabar
TA

dhtdani@gmail.com

Milad Hosseini
TA

milad.hosseini532@sharif.edu

Nika Ghaderi
TA

nika_ghaderi@yahoo.com

Omid Heydari
TA

omidheydari2004@gmail.com

Asal Meskin
TA

asalmskin82@gmail.com

Danial Gharib
TA

danial.mail.gh@gmail.com

Arsalan Masoudifard
TA

arsalanmasoudifard98@gmail.com

Ali Bakhtiari
TA

arshiapanahianzzna6@gmail.com

Armin Khosravi
TA

arminkhosravie@gmail.com

Radin Shahdaei
TA

radindaei@gmail.com

Kiarash Sheikhi
TA

kiarash2004sh@gmail.com

Mana Abbaszadeh
TA

abbaszadeh.mana@gmail.com

Sina Namazi
TA

nmzsina@gmail.com

Amirmohammad Aflatoonian
TA

aflatoonian.amir@gmail.com

Mohammadmahdi Akbar
TA

mahdiakbr81@gmail.com

Ayeen Poostforooshan
TA

ayeen.pf@gmail.com

Sina Azizeddin
TA

sina.azizeddin@gmail.com

Keyhan Hodaei
TA

niyahodaei@gmail.com

Shayan Baghayinejad
TA

shbnspecial82@gmail.com

Farzam Koohi Ronaghi
TA

farzamKoohi@gmail.com

Matin Arefnia
TA

matin1381arefnia@gmail.com

Mohammadmahdi Abedian
TA

mohammadgr1383@gmail.com

Mohammadmahd Farhan Bahrami
TA

mmdfarhanbahrami@gmail.com


Materials

Introduction
Bahman 15, 1402

Slide
Course Description
Bahman 15, 1402

Slide
Elementary row operations, Linear Equations
Bahman 17, 1402

Slide Theorems
Echelon forms, Row reduction
Bahman 24, 1402

Slide Theorems
General Vector Space
Bahman 29, 1402

Slide Examples
Subspaces
Esfand 1, 1402

Slide Theorems
Independence
Esfand 15,1402

Slide Theorems
Bases And Dimension
Esfand 23,1402

Slide Theorems
Inner Product Space
Esfand 27, 1402

Slide Video
Euclidian Norm, Inequalities, Angle
Farvardin 14, 1403

Slide All proofs are in the slides!
Orthogonality
Farvardin 19, 1403

Slide Theorems
Linear Transformation
Farvardin 21, 1403

Slide Theorems
Change Of Basis
Ordibehesht 2, 1403

Slide Video
Matrix Rank & Dimension
Ordibehesht 4, 1403

Slide Theorems
Matrix Inverse
Ordibehesht 9, 1403

Slide Theorems
Determinant
Ordibehesht 11, 1403

Slide Theorems
Norm Space
Ordibehesht, 1403

Slide
Derivation
Khordad, 1403

Slide Notes
Least Squares
Khordad, 1403

Slide Conclusion Video Theorem
Eigenvalue and Eigenvector
Khordad, 1403

Slide VideoPart1 VideoPart2 Video-Diagonalization-1
Quadratic Forms
Khordad, 1403

Slide VideoPart2
SVD
Khordad, 1403

Slide VideoPart1

Assignments

Vector Space & Linear Equations
HW1

100 Points, Submission Deadline: 1402/12/11, late submission until 1402/12/14

Question Set Solution
Introduction to Numpy and Pandas
PR1

100 Points, Submission Deadline: 1403/01/31, late submission until 1403/02/03

Homework Document Notebook and assets
Independence, Dimension & Rank, Inner Product Space
HW2

100 Points, Submission Deadline: 1403/01/19, late submission until 1403/01/22

Question Set Solution
Independence, Dimension & Rank, Inner Product Space
HW3

100 Points, Submission Deadline: 1403/02/02, late submission until 1403/02/05

Question Set Solution
System of Equations, Gram Schmidt, Basis
PR2

100 + 20 Points, Submission Deadline: 1403/02/22, late submission until 1403/02/25

Homework Document Notebook and assets
Linear Transformation, Change of Basis, Dimension and Rank, Inverse
HW4

100 Points, Submission Deadline: 1403/02/20, late submission until 1403/02/23

Question Set Solution
Determinant and Inverse, Derivative and Least Squares
HW5

100 Points, Submission Deadline: 1403/03/05, late submission until 1403/03/08

Question Set Solution
Least Squares, Matrix and Vector Derivative, Norm Space
HW6

100 Points, Submission Deadline: 1403/03/20, late submission until 1403/03/08

Question Set Solution
Eigenvalues and Eigenvectors, Symmetric Matrices and Quadratic Forms, SVD
HW7

100 Points, Submission Deadline: 1403/03/30, no late submissions

Question Set
Eigenvalues And Eigenvevtors, Decomposition
PR3

100 Points, Submission Deadline: 1403/04/13, no late submissions

Homework Document Notebook and assets

Problem sets

Vector Space & Linear Equations
HW1

Question Set Theoretical Solution Practical Solution
Independence, Basis & Dimension
HW2

Question Set Theoretical Solution
Rank, Inverse & Determinant
HW3

Question Set Theoretical Solution
Least Squares, Eigen values & Vectors
HW4

Question Set Theoretical Solution
Matrix Factorization
HW5

Theoretical Practical Theoretical Solution
Project

Project Files

HW1
Vector Space and Linear Equations

Questions Solution
HW2
Independence, Inner Product, and Norm

Questions Solution
HW3
Matrices

Questions
HW4
Eigenvalues and Eigenvectors

Questions Solution
HW5
Singular Value, Decomposition, and Derivatives

Questions Solution
Project

Files
Midterm

Questions

HW1
Vector Space and Linear Equations

Questions Solution
HW2
Combinations and Independence

Questions Solution
HW3
Norm, Inner product, Orthogonality

Questions
HW4
Matrices

Questions Solution
HW5
Eigenvalues, Eigenvectors

Questions Solution
Final

Questions

HW1

Questions Solution
HW2

Questions Solution
HW3

Questions Solution
HW4

Questions Solution
HW5

Questions Solution
HW6

Questions Solution
HW7

Questions Solution