MATH 215 • Tüm Sınavlar • Mathematics III
Math 215 dersi düşündüğün kadar zor değil; Dersimizdeki özet konu anlatımları ve kitabınızdaki bölüm sonu soru çözümleriyle konuyu öğrenecek, sonrasında son yılların çıkmış sınav sorularıyla antreman yapacaksın.
Tamamen senin okuluna özel hazırlanmış bu içerik akışıyla Lineer Cebir dersinden istediğin notu alacaksın.
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Eğitmen
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.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Systems of Linear Equations
4 konu anlatımı · 5 soru
Augmented Matrix - Row Reduction 1
Augmented Matrix - Row Reduction 2
Existence and Uniqueness of Solution
Free Variables
Exam-like Questions 1
Exam-like Questions 2
Exam-like Questions 3
Exam-like Questions 4
Exam like Question 5
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
Matrix Equations
3 konu anlatımı · 4 soru
Matrix Equations and Augmented Matrix
Solutions of Homogeneous Linear Systems
Solutions of Non-Homogeneous Linear Systems
Exam-like Question 11
Exam-like Question 12
Exam-like Question 13
Exam-like Question 14
Fundamental Theorem for Matrix Equations
1 konu anlatımı · 3 soru
Theorem for Matrix Equations
Exam-like Questions 15
Exam-like Questions 16
Exam-like Questions 17
Matrix Operations and Inverse of a Matrix
3 konu anlatımı · 7 soru
Fundamental Matrix Operations
Inverse of a Matrix 1
Inverse of a Matrix 2
Exam-like Question 24
Exam-like Question 25
Exam-like Question 26
Exam-like Question 27
Exam-like Question 28
Exam-like Question 29
Exam-like Question 30
Elementary Matrices
2 konu anlatımı · 3 soru
Elementary Matrix
Inverse of Elementary Matrix
Exam-like Question 31
Exam-like Question 32
Exam-like Question 33
Determinants
6 konu anlatımı · 6 soru
Determinant & Cofactor Expansion
Determinants of Bigger Matrices
Properties of Determinant
Properties of Determinant 2
Adjoint Matrix 1
Adjoint Matrix 2
Applications of Determinants
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Cramer's Rule
1 konu anlatımı · 3 soru
Cramer's Rule
Exam like Question 1
Exam like Question 2
Exam like Question 3
Linear Transformation
5 konu anlatımı · 4 soru
Linear Transformations 1
Linear Transformation 2
Exam like Question 34
Exam like Question 35
Matrix of a Linear Transformation
Exam like Question 36
Inverse of Linear Transformation 1
Inverse of Linear Transformation 2
Exam like Question 37
Exam Practice
27 soru
Gaussian Elimination Method
Linear System
Existence and Uniqueness 1
Existence and Uniqueness 2
Existence and Uniqueness 3
Existence and Uniqueness 4
Existence and Uniqueness 5
Matrix Operations
Elementary Matrices 1
Elementary Matrices 2
Inverse of a Matrix 1
Inverse of a Matrix 2
Inverse of a Matrix 3
Inverse Matrix and Elementary Matrices
Solving systems with Inverse 1
Solving Systems with Inverse 2
Solving systems with Inverse 3
Determinant and Invertibility 1
Determinant and Invertibility 2
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
Theory Problems
1 konu anlatımı · 8 soru
True/False Statements
Theory Problem 1
Theory Problem 2
Theory Problem 3-4
Theory Problem 5-6
Theory Problem 7
Theory Problem 8
Theory Problem 9
Theory Problem 10
(NEW) Sınav Provası: Fall 2024 Exam
5 soru
Augmented matrix and Equation
Inverse Matrix
Homogeneous Equation
Determinant
Cramer's Rule
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
Null, Column and Row Spaces
1 konu anlatımı · 3 soru
Bases for Col A & Row A & Null A
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Linear Independence
1 konu anlatımı · 6 soru
Linear Independent Sets
Exam-like Questions 18
Exam-like Questions 19
Exam like Question 20
Exam-like Questions 21
Exam-like Questions 22
Exam-like Questions 23
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
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
Kernel and Range of Transformations
7 konu anlatımı
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
Basis for General Subspaces
3 konu anlatımı · 5 soru
Basis for Vector Subspaces
Basis for Polynomial Subspaces
Basis for Matrix Subspaces
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Coordinate Systems
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 for Matrices
4 konu anlatımı
Coordinate Systems: Matrices 1
Coordinate Systems: Matrices 2
Coordinate Systems: Matrices 3
Coordinate Systems: Matrices 4
Change of Basis
3 konu anlatımı
Change of Basis: Vector Spaces
Change of Basis: Polynomials
Change of Basis: Matrices
Eigenvalues and Eigenvectors
6 konu anlatımı
Eigenvalues & Eigenvectors: 3 Vital Steps
Eigenvalues & Eigenvectors: A Special Tip
A Matrix with Irrational Eigenvalues
Algebraic and Geometric Multiplicities 1
Algebraic and Geometric Multiplicities-2
Eigenspace of Matrices
Diagonalization
2 konu anlatımı · 3 soru
Diagonalization 1
Diagonalization 2
Exam like Question
Exam like Question
Exam like Question
Eigenvectors and Linear Transformations
3 konu anlatımı · 6 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 like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Complex Eigenvalues
2 konu anlatımı
Complex Eigenvalues I
Complex Eigenvalues II
Sample Exam Practice Problems
30 soru
Linear Transformation 1
Linear Transformation 2
Matrix of Linear Transformation 1
Matrix of Linear Transformation 2
Inverse of Linear Transformation 1
Inverse of Linear Transformation 2
Inverse of Linear Transformation 3
Composite of Linear Transformation 1
Reflection of a Transformation 1
Reflection of a Transformation 2
Reflection of a Transformation 3
Basis for Kernel and Range 1
Basis for Kernel and Range 2
Basis for Kernel and Range 3
Basis for Kernel and Range 4
Basis for Kernel and Range 5
Basis for Kernel and Range 6
Transformations & Change of Basis 2
Transformations & Change of Basis 3
Transformations & Change of Basis 4
Transformations & Change of Basis 5
Transformations & Change of Basis 6
Transformations & Change of Basis 7
Transformations & Change of Basis 8
Eigenvalues
Eigenvalue Eigenvector Diagonalizable
Diagonalization 1
Diagonalization 2
Diagonalization 3
Eigenvalue and Null Space
Orthogonality
3 konu anlatımı · 4 soru
Key concepts for orthogonality
Orthogonal Complement
Orthagonal Complement 2
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam like Question 4
Orthogonal Sets and Bases
4 konu anlatımı
Orthogonal Sets and Basis
Advantage of an Orthogonal Basis
Orthonormal Sets and Basis
Orthogonal Matrix
Orthogonal Projections
2 konu anlatımı · 3 soru
Orthogonal Projection 1
Orthogonal Projection 2
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
The Gram-Schmidt Process
2 konu anlatımı · 4 soru
The Gram-Schmidt Process 1
The Gram-Schmidt Process 2
Exam like Question 1
Exam like Question 2
Exam like Question 3
Angle Between Vectors for a Given Inner Product
Inner Product Spaces
1 konu anlatımı · 3 soru
Inner Product Space
Exam like Question 1
Exam like Question 2
Exam like Question 3
Sample Exam Problems
22 soru
Orthogonal Complement and Basis
Orthogonal Complement and Basis
Orthogonal Complement and Projections
Orthogonal Complement and Basis
Orthogonal Projections
Orthogonal Basis
Orthonormal Basis
Orthonormal Basis
The Gram-Schmidt Process
Orthonormal Basis
Orthonormal Basis
Orthonormal Basis
The Gram-Schmidt Process
Orthogonal Matrix
Orthonormal Basis
Orthonormal Basis
Orthonormal Basis & Eigenvectors
Orthonormal Basis & Eigenvectors
Orthonormal Basis & Eigenvectors
Orthogonal Matrix
Orthogonal Matrix
Orthogonal Matrix