Vector Spaces and Subspaces
Vector Spaces and Subspaces 1
Vector Spaces and Subspaces 2
Matrix Spaces & Matrix Subspaces
Polynomial Subspaces
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Exam-like Question 6
Basis for Column,Null and Row Spaces
Bases for Col A & Row A & Null A
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Basis for General Subspaces
Basis for Vector Subspaces
Basis for Matrix Subspaces
Basis for Polynomial Subspaces
Coordinate Systems: Vectors & Polynomials
Coordinate Systems : Introduction
Coordinate Systems : Polynomials
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam like Question 4
Exam like Question 5
Coordinate Systems : Matrices
Coordinate Systems : Matrices 1
Coordinate Systems : Matrices 2
Coordinate Systems : Matrices 3
Coordinate Systems : Matrices 4
Change of Basis
Change of Basis : Vector Spaces
Change of Basis : Polynomials
Change of Basis: Matrices
Linear Transformation
Linear Transformations 1
Linear Transformation 2
Exam like Question 1
Exam like Question 2
Matrix of a Linear Transformation
Exam like Question 3
Exam-like Question 4
Linearity of Transformations
Kernel and Range of Transformations
Basis for Kernel and Range of a Transformation
Basis for Kernel and Range of a Transformation 2
Basis for Kernel and Range of a Transformation 3
Linear Independence of Matrices
Basis for Kernel and Range of a Transformation 4
Basis for Kernel and Range of a Transformation 5
Basis for Kernel and Range of a Transformation 6
Transformations and Change of Basis
Transformation Matrix Relative to Basis 1
Transformation Matrix Relative to Basis 2
Transformation Matrix Relative to Basis 3
Exam like Question 1
Exam like Question 2
Isomorphism
Isomorphism 1
Isomorphism 2
Isomorphism 3
Exam like Question 1
Exam like Question 2
Determinants
Determinant & Cofactor Expansion
Determinants of Bigger Matrices
Properties of Determinant
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Exam like Question 6
Past Exams & Sample Midterm Problems
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Past Exams : Theory Problems
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
(NEW) Spring 2024 Exam Problems
Column,Null and Row Spaces
Basis and Linear Dependence
Linear Transformations
Linear Transformations & Change of Basis
Linear Transformations & Change of Basis
Linear Transformations & Change of Basis
Theory Problem
Proof Problem 1
Proof Problem 2
Bonus Part
1
2
3
4
Unicourse şirketinin kurucu ortağıyım. 2016 senesinde Galatasaray Lisesinden mezun oldum. Geçtiğimiz dört sene içerisinde 2000 saatten fazla ders anlattım. Anlattığım dersler sırasıyla; Calculus, Çok değişkenli Calculus, Lineer Cebir, Differansiyel Denklemler, Uygulamalı İstatistik ve Stokastik Modelleme dersleridir. Doping Hafıza şirketinde 2017 - 2022 seneleri arasında CEO danışmanlığı yaptım. Koç Üniversitesi Endüstri Mühendisliği ve Ekonomi çift anadal programını tam burslu olarak, 3.96/4.00 not ortalamasıyla bitirdim. Kadıköy Modalıyım.
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