MATH 201 • Midterm • Matrix Theory
Boğaziçi Üniversitesi MATH 201 (Matrix Theory) Midterm sınavına hazırlık paketi.
İşlenen konular: 1. Systems of Linear Equations 2. Operations with Matrices 3. Elementary Matrices 4. The Inverse of a Matrix 5. Matrix Equations (AX = B Formu) 6. Vectors: Linear Combination and Span 7. Vector Spaces and Subspaces 8. Linear Independence 9. Basis for General Subspaces 10. Basis for Subspaces (Null, Column, Row Spaces) 11. Coordinate Systems (Vectors, Polynomials) 12. Linear Transformation 13. Kernel and Range of Transformations 14. Transformations and Change of Basis
Ayda 499 TL, peşin fiyatına 3 taksit
Eğitmenler
Dorukhan Özcan
Co-Founder & CEO
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.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Systems of Linear Equations
4 konu anlatımı · 9 soru
Augmented Matrix - Row Reduction 1
Augmented Matrix - Row Reduction 2
Existence and Uniqueness of Solution
Free Variables (Free Parameter)
Practice Problem 1
Practice Problem 2
Practice Problem 3
Practice Problem 4
Practice Problem 5
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Operations with Matrices
1 konu anlatımı · 9 soru
Fundamental Matrix Operations
Practice Problem 1
Practice Problem 2
Practice Problem 3
Practice Problem 4
Practice Problem 5
Practice Problem 6
Practice Problem 7
Practice Problem 8
Practice Problem 9
The Inverse of a Matrix
2 konu anlatımı · 4 soru
Inverse of a Matrix 1
Inverse of a Matrix 2
Practice Problem 1
Practice Problem 2
Practice Problem 3
Practice Problem 4
Elementary Matrices
2 konu anlatımı · 3 soru
Elementary Matrix
Inverse of Elementary Matrix
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Matrix Equations (AX = B Formu)
3 konu anlatımı · 5 soru
Product of a Matrix and a Vector
Matrix Equation
Solving AX = B with Inverse
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Vectors: Linear Combination and Span
7 konu anlatımı · 3 soru
Vector Properties
Linear Combination 1
Linear Combination 2
Formal Definition of Linear Combination
Span of Vectors 1
Span of Vectors 2
Solutions of Homogeneous Linear Systems
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Vector Spaces and Subspaces
3 konu anlatımı · 6 soru
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
Linear Independence
3 konu anlatımı · 4 soru
Linear Independent Sets
Linear Independence of Matrices
Special Theorem for Matrix Equation
Exam-like Questions 1
Exam-like Questions 2
Exam-like Question 3
Exam-like Question 4
Basis for General Subspaces
4 konu anlatımı
Basis for Vector Subspaces
Basis for Matrix Subspaces
Basis for Polynomial Subspaces
Basis for Polynomial Subspaces 2
Basis for Subspaces (Null, Column, Row Spaces)
2 konu anlatımı · 1 soru
Null Space & Column Space & Row Space
Bases for Col A & Row A & Null A
Exam-like Question
Coordinate Systems (Vectors, Polynomials)
2 konu anlatımı · 5 soru
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
Linear Transformation
6 konu anlatımı · 4 soru
Linear Transformations 1
Linear Transformation 2
Matrix of a Linear Transformation
Inverse of Linear Transformation 1
Inverse of Linear Transformation 2
Linearity of Transformations
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Kernel and Range of Transformations
7 konu anlatımı
Basis for Kernel and Range of a Transformation 1
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
3 konu anlatımı · 2 soru
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
Exam Practice Problems
16 soru
Gaussian Elimination Method
Existence and Uniqueness 1
Existence and Uniqueness 2
Matrix Operations
Inverse of a Matrix 1
Inverse of a Matrix 2
Solving systems with Inverse 1
Solving systems with Inverse 2
Solving systems with Inverse 3
Determinant and Invertibility
Existence, Determinant and Invertibility 1
Existence, Determinant and Invertibility 2
Properties of Determinants 1
Properties of Determinants 2
Properties of Determinants 3
Properties of Determinants 4