Linear Algebra

 

!!! Midterm Exam will cover Chapter 1-Chapter 2-Chapter 3 !!!

Chapter Subchapter Exercises
1. Linear Equations and Matrices 1.1  Systems of Linear Equations 1-23 ;
1.2  Matrices 4-12 ;
1.3  Matrix Multiplication 1-39 ;
1.4  Algebraic Properties of Matrix Operations 1.4ex ;
1.5  Special Types of Matrices 1.5ex ;
1.6  Matrix Transformations 1-14 ;
2. Solving Linear Systems 2.1  Echelon Form of a Matrix 1-6 ;
2.2  Solving Linear Systems 1-23, 40-43 ;
2.3  Elementary Matrices, Finding Inverse Matrix 4-20 ;
3. Determinants 3.1  Definition 3.1ex
3.2  Properties of Determinants 3.2ex
3.3  Cofactor Expansion 3.3ex
3.4  Inverse of a Matrix 3.4ex
4. Real Vector Spaces 4.1  Vectors in the Plane and in 3-Space 1-20
4.2  Vector Spaces 1-10
4.3  Subspaces 1-39
4.4  Span 1-15
4.5  Linear Independence 1-17
4.6  Basis and Dimension 1-32
4.7  Homogeneous Systems 1-20
4.9  Rank of a Matrix 1-36

 

Resources:

Elementary Linear Algebra-9th Edition-Bernard Kolman,  (Exercises in this book)

A First Course in Linear Algebra, Robert A. Beezer

MIT Video Lectures

Türkçe Ders Notları

Paul’s Online Math Notes