tailieunhanh - Lecture Linear algebra: Chapter 5 - TS. Đặng Văn Vinh

Lecture "Linear algebra - Chapter 5: Linear transformation" provides learners with the knowledge: Definition and examples, the Kernel and Image of linear transformation, the Matrix of a linear transformation, the Matrix of a linear transformation, similarity. Invite you to refer to the disclosures. | Math Dept Faculty of Applied Science HCM University of Technology Subject Linear Algebra Chapter 5 Linear transformation Instructor Dr. Dang Van Vinh 12 2006 CONTENTS I - Definition and examples II - The Kernel and Image of linear transformation III - The Matrix of a linear transformation IV -Transition Matrix and change of basis V -Similarity I. The Definition and Examples Definition of mapping Transformation Given two sets X and Y if we assign to each element x of X one and only one element y of Y then the rule of assignment is called a function or a mapping or a transformation . f X T Y x f x y The set X is called the domain of the function f. The set Y is called the co-domain of the function f. For an element x of the domain the assigned element f x is called the image of x. The set of all images which is a subset of the co-domain Y is called the range of the .