ABSTRACT

In this chapter, we will discuss mainly four sections. In the first section, we shall elaborate one-one transformation and its examples. Also, we shall explain the theorem that depends upon one-one transformation using a kernel. In the second section, we define the concept of onto transformation and its examples. In the third section, we shall deliberate the isomorphism and illustrations of isomorphism between two vector spaces. In the fourth section, we shall develop an inverse linear transformation and composition of two inverse linear transformations. We shall develop the linear transformation by conveying together the two properties of one-one-ness and onto-ness, and also consider linear transformation with bijective property. Some interesting examples are written in Exercise Set 3.