MATH 221 • Tüm SınavlarLinear Algebra

Yeditepe Üniversitesi MATH 221 (Linear Algebra) Midterm sınavına hazırlık paketi.

İşlenen konular: Systems of Linear Equations: Row Reduction, Matrix Arithmetic and Matrix Algebra, Inverse of a Matrix, Solving Equations with Inverse, Elementary Matrices, LU Decomposition, Determinants, Properties of Determinants, Applications of Determinant, Applications of Determinant II, Vectors: Linear Combination and Span, Linear Independence, Vector Spaces and Subspaces, Basis and Dimension: Row and Column Spaces, Change of Basis Part I, Change of Basis Part II.

3999 TL

Ayda 1333 TL, peşin fiyatına 3 taksit

217 soru çözümü
87 konu anlatımı · 21 sa 40 dk

Eğitmenler

Dorukhan Özcan

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

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.

Kerem Başol

Kerem Başol

Eğitmen

2019 senesinde Koç Üniversitesi Matematik bölümüne başladım. Geçtiğimiz senelerde Calculus ve Linear Algebra derslerinde Tutor ve Teaching Assistant pozisyonlarında görev aldım. Halen Koç Üniversitesi Matematik ve Bilgisayar Mühendisliği çift anadal programını 4.00/4.00 ortalamayla fakülte birincisi olarak sürdürüyorum. Trigonometrik fonksiyonların elips üzerinde nasıl tanımlanabileceğini merak etmemle başlayan Matematik tutkumu aktarmak için Unicourse Matematik Zümresine katıldım.

Konular

Ders Tanıtımı

Row Reduction 1

Ücretsiz

Row Reduction 2

Ücretsiz

Existence and Uniqueness of Solution

Ücretsiz

Free Variables

Exam-like Questions 1

Ücretsiz

Exam-like Questions 2

Exam like Question 3

Ücretsiz

Exam like Question 4

Fundamental Matrix Operations

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

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

Ücretsiz

Matrix Equation

Solving AX = B with Inverse

Invertible or not ?

Exam like Question 1

Exam-like Question 2

Exam like Question 3

Elementary Matrix

Önemli

Inverse of Elementary Matrix

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

LU Factorization

Exam like Question 1

Exam like Question 2

Exam like Question 3

Determinant & Cofactor Expansion

Determinants of Bigger Matrices

Exam-like Question 1

Exam-like Question 2

Properties of Determinant 1

Properties of Determinant 2

Exam-like Question

Cramer's Rule

Adjoint Matrix

Exam like Question 1

Exam like Question 2

Ücretsiz

Exam like Question 3

Exam like Question 4

Area of Triangle & Volume of Tetrahedron

Vector Properties

Ücretsiz

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

Ücretsiz

Linear Independent Sets

Ücretsiz

Linear Independence of Matrices

Linear Independence & Theory

Exam-like Questions 1

Exam-like Questions 2

Exam-like Question 3

Vector Spaces and Subspaces

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

Exam-like Question 7

Null Space & Column Space & Row Space

Bases for Col A & Row A & Null A

Exam-like Question 1

Ücretsiz

Exam-like Question 2

Ücretsiz

Exam-like Question 3

Ücretsiz

Basis for Vector Subspaces

Basis for Matrix Subspaces

Basis for Polynomial Subspaces

Exam-like Question 4

Exam-like Question 5

Exam-like Question 6

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 1

Coordinate Systems: Matrices 2

Change of Basis: Vector Spaces

Change of Basis: Polynomials

Change of Basis: Matrices

Row Reduction 1

Row Reduction 2

Existence and Uniqueness 1

Existence and Uniqueness 2

Ücretsiz

Existence and Uniqueness 3

Ücretsiz

Existence and Uniqueness 4

Matrix Operations

Inverse of a Matrix 1

Inverse of a Matrix 2

Ücretsiz

Inverse of a Matrix 3

Solving Systems with Inverse 1

Solving Systems with Inverse 2

Determinant and Invertibility

Elementary Matrices

Properties of Determinants 1

Properties of Determinants 2

Properties of Determinants 3

Ücretsiz

Properties of Determinants 4

Theory Problem 1

Theory Problem 2

Theory Problem 3-4-5

Ücretsiz

Theory Problem 6-7

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Ücretsiz

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Question 1

Ücretsiz

Question 2

Question 3

Ücretsiz

Question 4

Existence and Uniqueness of Solutions

Existence and Uniqueness of Solutions

Ücretsiz

Linear Independence

Linear Independence

Invertibility of a Matrix

Solving systems with Inverse

Solving Systems with Inverse

Span of Vectors

Ücretsiz

Span of Vectors

Span of Vectors

Ücretsiz

Determinant & Co-factor Expansion

Determinants & Linear Independence

Properties of Determinant

Properties of Determinants

Properties of Determinants

Ücretsiz

Elementary Matrices

Elementary Matrices

Linear Transformations 1

Linear Transformation 2

Linearity of Transformations

Matrix of a Linear Transformation

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

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

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

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Ücretsiz

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Ücretsiz

Problem 19

Ücretsiz

Problem 20

Ücretsiz

Problem 21

Ücretsiz

Problem 22

Ücretsiz

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Ücretsiz

Problem 32

Problem 33

Problem 34

Problem 35

Null and Column Space

Subspace or not ?

Polynomial Basis

Change of Basis

Column, Null and Row Spaces

Column, Null and Row Spaces

Linear Transformations & Kernel and Range

Linear Transformations & Kernel and Range

Linear Transformations & Kernel and Range

Ücretsiz

Change of Basis

Ücretsiz

Change of Basis

Gram-Schmidt Process

Gram-Schmidt Process

Ücretsiz

Eigenvalues and Eigenvectors

Eigenvalues and Eigenvectors

Complex Eigenvalues

Linear Transformations & Eigenvalues

Linear Transformations & Eigenvalues

Ücretsiz

Linear Transformation & Change of Basis

Ücretsiz

Linear Transformations

Ücretsiz

Matrix of a Linear Transformation

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

Basis for Kernel and Range of a Transformation 4

Basis for Kernel and Range of a Transformation 5

Linearity of Transformations

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 Basis

Advantage of an Orthogonal Basis

Orthonormal Sets and Basis

Orthogonal Matrix

Orthogonal Projection 1

Orthogonal Projection 2

Exam-like Question 1

Exam-like Question 2

Ücretsiz

Exam-like Question 3

The Gram-Schmidt Process 1

The Gram-Schmidt Process 2

Exam like Question 1

Exam like Question 2

Eigenvalues & Eigenvectors: 3 Vital Steps

Ücretsiz

Eigenvalues & Eigenvectors: A Special Tip

A Matrix with Irrational Eigenvalues

Algebraic and Geometric Multiplicities 1

Algebraic and Geometric Multiplicities-2

Eigenspace of Matrices

Complex Eigenvalues

Complex Eigenvalues-2

Diagonalization 1

Diagonalization 2

Spring 2023 Final Exam Problem

Spring 2023 Resit Problem (Bütünleme)

Eigenvalues, Eigenspaces

Eigenvalues, Eigenspaces

Eigenvalues, Eigenspaces

Linear Transformations

Linear Transformations

Ücretsiz

Kernel and Image of Transformations

Ücretsiz

Matrix of a Linear Transformation

Orthogonal Projections (Fall 2022)

Orthogonal Complements

Orthogonal Complements

Orthogonal Projections (Fall 2022)

Eigenvalues and Eigenvectors

Gram-Schmidt Process

Linear Transformation (Kernel and Range)

Matrix of Linear Transformation

Eigenvalues and Eigenvectors

Orthogonal Complements

Gram-Schmidt Process

Ücretsiz

Linear Transformation (Kernel and Range)

Ücretsiz

Column, Null and Row Spaces

Column, Null and Row Spaces

Linear Transformations & Kernel and Range

Gram-Schmidt Process

Gram-Schmidt Process

Ücretsiz

Eigenvalues and Eigenvectors

Eigenvalues and Eigenvectors

Complex Eigenvalues

Linear Transformations & Eigenvalues

Linear Transformations & Eigenvalues

Ücretsiz

Change of Basis

Ücretsiz

Change of Basis

Linear Transformation & Change of Basis

Ücretsiz

MATH 221 Tüm Sınavlar Hakkında Sıkça Sorulan Sorular

Sıkça Sorulan Sorular

3999 TL