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Chapter 6 Linear Transformation

Chapter 6 Linear Intro. to Linear TransformationHomework:[Textbook, Ex. 3, 5, 9, 23, 25, 33, 37, 39 ,53, 55,57, 61(a,b), 63; page 371-].In this section,we discuss Linear 6. Linear TRANSFORMATIONR ecall, from calculus courses, a funtionf:X Yfrom a setXto a setYassociates to eachx Xa unique elementf(x) is some commonly used called the domain called the codomain Iff(x) =y,then we sayyis the image preimageofyispreimage(y) ={x X:f(x) =y}.4. The range offis the set of images of elements this section we deal with functions from a vector sapceVtoanother vector spaceW,that respect the vector space structures. Sucha function will be called a Linear Transformation , defined as two vector spaces. A functionT:V Wis called alinear transformationofVintoW,if following two prper-ties are true for allu,v Vand (u+v) =T(u)+T(v).

Chapter 6 Linear Transformation 6.1 Intro. to Linear Transformation Homework: [Textbook, §6.1 Ex. 3, 5, 9, 23, 25, 33, 37, 39 ,53, 55, 57, 61(a,b), 63; page 371-].

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