MATH 250 • Tüm Sınavlar • Linear Algebra for Engineers
Math 205 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. Bu dersimizde sunduğumuz içerikler sırasıyla: 1) Systems of Linear Equations 2) Row Reduction- Gaussian Elimination 3) Matrix Operations 4) Inverse of a Matrix 5) Solving systems with Inverse 6) Determinants 7) Properties of Determinants 8) Adjoint of a Matrix 9) Cramer's Rule 10) Vector Spaces and Subspaces
Ayda 833 TL, peşin fiyatına 3 taksit
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.
Konular
Row Reduction & Systems of Linear Equations
4 konu anlatımı · 8 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
Matrix Equations (AX = B Formu)
3 konu anlatımı · 3 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
Linear Independence
1 konu anlatımı · 6 soru
Linear Independent Sets
Exam-like Questions 1
Exam-like Questions 2
Exam like Question 3
Exam-like Questions 4
Exam-like Questions 5
Exam-like Questions 6
Linear Transformation
5 konu anlatımı · 4 soru
Linear Transformations 1
Linear Transformation 2
Exam like Question 1
Exam like Question 2
Matrix of a Linear Transformation
Exam like Question 3
Inverse of Linear Transformation 1
Inverse of Linear Transformation 2
Exam like Question 4
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 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
LU Decomposition
3 konu anlatımı · 3 soru
LU Decomposition I
LU Decomposition II
LU Decomposition III
LU Decomposition (Alternatif)
LU Decomposition (Alternatif)
LU Decomposition (Alternatif)
Determinants
4 konu anlatımı · 10 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 6
Exam-like Question 7
Exam-like Question 8
Exam-like Question 9
Exam-like Question 10
General Exam Review
23 soru
Gaussian Elimination Method
Linear System
Existence and Uniqueness 1
Existence and Uniqueness 2
Existence and Uniqueness 3
Existence and Uniqueness 4
Matrix Operations
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
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 Expansion
Cramer's Rule
1 konu anlatımı · 2 soru
Cramer's Rule I
Exam like Question 1
Exam like Question 2
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
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
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
Orthogonal Sets and Bases
4 konu anlatımı · 1 soru
Orthogonal Sets and Basis
Advantage of an Orthogonal Basis
Orthonormal Sets and Basis
Orthogonal Matrix
Basis for Orthogonal Complement
Orthogonal Projection
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 · 3 soru
The Gram-Schmidt Process 1
The Gram-Schmidt Process 2
Exam like Question 1
Exam like Question 2
Angle Between Vectors for a Given Inner Product
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
6 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
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
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 · 2 soru
Diagonalization 1
Diagonalization 2
Exam like Question 1
Exam like Question 2
Exam Practice Part I
34 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 (Polynomials)
Spanning Sets (Matrices)
Linear Independence of Polynomials
Exam Practice Part II
15 soru
Linear Transformation 1
Matrix of Linear Transformation 1
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
Eigenvalues
Eigenvalue Eigenvector Diagonalizable
Diagonalization 1
Diagonalization 2
Diagonalization 3
Diagonalization 4
Diagonalization 5
Eigenvalue and Null Space