MATH 220 • Midterm I • Linear Algebra
TED Üniversitesi MATH 220 (Linear Algebra) Midterm sınavına hazırlık paketi.
İşlenen konular: Vector Spaces and Subspaces Linear Independence Basis for General Subspaces Basis for Null, Column and Row Spaces Orthogonal Complement Orthogonal Basis Orthogonal Projection The Gram-Schmidt Process Systems of Linear Equations Matrix Equations Matrix Operations and Inverse of a Matrix Determinants Adjoint of a Matrix Eigenvalues and Eigenvectors Diagonalization
Ayda 599 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.
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
Determinants
4 konu anlatımı · 11 soru
Determinant & Cofactor Expansion
Determinants of Bigger Matrices
Properties of Determinant I
Properties of Determinant II
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Exam-like Question 5
Exam-like Question 5
Exam-like Question 6
Exam-like Question 7
Exam-like Question 8
Exam-like Question 9
Adjoint of a Matrix
5 konu anlatımı
Adjoint of a Matrix I
Adjoint Matrix II
Adjoint Matrix III
Adjoint Matrix IV
Adjoint Matrix V
Cramer's Rule
2 konu anlatımı · 1 soru
Cramer's Rule I
Cramer's Rule II
Exam-like Question 1
Applications of Determinant
2 konu anlatımı
Area of Triangle & Volume of Tetrahedron
Equation of a Line and Plane
Vector Spaces and Subspaces
4 konu anlatımı · 6 soru
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
Linear Combination & Span of Vectors
6 konu anlatımı · 5 soru
Vector Properties
Linear Combination 1
Linear Combination 2
Formal Definition of Linear Combination
Span of Vectors 1
Span of Vectors 2
Exam-like Question 6
Exam-like Question 7
Exam-like Question 8
Exam-like Question 9
Exam-like Question 10
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 · 3 soru
Null Space & Column Space & Row Space
Bases for Col A & Row A & Null A
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
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
Coordinate Systems (Matrices)
4 konu anlatımı
Coordinate Systems: Matrices 1
Coordinate Systems: Matrices 2
Coordinate Systems: Matrices 3
Coordinate Systems: Matrices 4
Exam Practice Part I
26 soru
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
Cofactor Expansion
Cofactor
Inverse Matrix
Subspace or Not 1
Subspace or Not 2
Subspace or Not 3
Subspace or Not 4
Subspace or Not 5
Polynomial Subspace or Not 1
Polynomial Subspace or Not 2
Polynomial Subspace or Not 3
Span of Vectors
Span of Vectors
Span of Vectors
Span of Vectors
Linear Independence
Linear Independence
Linear Independence
Linear Independence
Exam Practice Part II
32 soru
Rank and Nullity - Theoretical
Null & Column & Row Spaces 1
Null & Column & Row Spaces 2
Null & Column & Row Spaces 3
Null & Column & Row Spaces 4
Null & Column & Row Spaces 5
Column, Null and Row Spaces 1
Column, Null and Row Spaces 2
Column, Null and Row Spaces 3
Basis for Subspaces (Vectors)
Basis for Subspaces (Vectors)
Basis for Subspaces (Vectors)
Basis for Subspaces (Vectors)
Basis for Subspaces (Matrices)
Basis for Subspaces (Matrices)
Basis for Subspaces (Matrices)
Basis for Subspaces (Matrices)
Basis for Subspaces (Matrices)
Basis for Subspaces (Matrices)
Basis for Subspaces (Matrices)
Basis for Subspaces (Matrices)
Basis for Subspaces (Polynomials)
Basis for Subspaces (Polynomials)
Basis for Subspaces (Polynomials)
Basis for Subspaces (Polynomials)
Spanning Sets (Vectors)
Spanning Sets (Vectors)
Spanning Sets (Vectors)
Spanning Sets (Vectors)
Spanning Sets (Polynomials)
Spanning Sets (Polynomials)
Spanning Sets (Matrices)