MATH 227 • Midterm • Introduction to Linear Algebra
Konular
Gaussian Elimination
Augmented Matrix - Row Reduction 1
Augmented Matrix - Row Reduction 2
Existence and Uniqueness of Solution
Free Variables (or Parameters)
Exam-like Questions 1
Exam-like Questions 2
Exam-like Questions 3
Exam-like Questions 4
Exam like Question 5
Matrix Operations and Inverse
Fundamental Matrix Operations
Inverse of a Matrix 1
Inverse of a Matrix 2
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Matrix Equations
Matrix Equation
Solving AX = B with Inverse
Invertible or not ?
Exam like Question 1
Exam like Question 2
Exam-like Question 3
Exam like Question 4
Elementary Matrices
Elementary Matrix
Inverse of Elementary Matrix
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Determinants
Determinant & Cofactor Expansion
Determinants of Bigger Matrices
Properties of Determinant
Properties of Determinant 2
Exam like Question 1
Exam like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Exam-like Question 6
Exam-like Question 7
Exam-like Question 8
Cramer's Rules
Cramer's Rule 1
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Adjoint Matrix
Adjoint Matrix 1
Adjoint Matrix 2
Adjoint Matrix 3
Adjoint Matrix 4
Vectors (Dot Product & Projections)
Vectors: Arithmetic, Parallelism and Unit Vector
Angles between Vectors : Dot Product
Vector Projection
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Vector Spaces and Subspaces
Vector Spaces and Subspaces
Polynomial Subspaces
Matrix Spaces & Matrix 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
Sample Midterm Problems
Row Reduction 1
Row Reduction 2
Consistent & Inconsistent Systems
Existence and Uniqueness 1
Existence and Uniqueness 2
Existence and Uniqueness 3
Existence and Uniqueness 4
Existence and Uniqueness 5
Matrix Operations 1
Matrix Operations 2
Inverse of a Matrix 1
Inverse of a Matrix 2
Inverse of a Matrix 3
Solving Systems with Inverse 1
Solving Systems with Inverse 2
Determinant and Invertibility 1
Determinant and Invertibility 2
Elementary Matrices 1
Elementary Matrices 2
Properties of Determinants 1
Properties of Determinants 2
Properties of Determinants 3
Properties of Determinants 4
Theory Problem 1
Theory Problem 2
Theory Problem 3-4-5
Theory Problem 6-7
(NEW) Exam Problems (2023)
Row Reduction
Existence and Uniqueness
Inverse of a Matrix
Determinant
Properties of Determinant
Elementary Matrices
True-False Problems
Eğitmenler
Dorukhan Özcan
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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.
Tolga Temiz
Eğitmen
2016 senesinde başladığım Koç Üniversitesi Matematik bölümünden 2020 senesinde fakülte üçüncüsü olarak mezun oldum. Lisans ve yüksek lisans eğitimlerim boyunca çeşitli derslerde asistanlık yaptım. 2021'de Koç Üniversitesi'nde Matematik yüksek lisansına başladım ve 2023 yılında mezun oldum. Şimdi Michigan State Üniversitesi'nde doktora yapıyorum. Topoloji alanıyla ilgilenmekteyim.