ABSTRACT
In this chapter, we will start with the study about the function of the form w = f(X), where X is the independent vector in Rn and w is a dependent variable in Rm . We will concentrate on a special case as the transformation from Rn to Rm . A linear transformation is fundamental in the study of linear algebra. Hence, we will study linear transformation and different types of operators such as reflection operator, orthogonal projection operator, rotation operator, dilation operator, contraction operator, and shear operator. Many applications are related to the operator in the field of physics, engineering, computer graphics, social sciences, and various branches of mathematics. We will introduce the composition of two or more linear transformations in this chapter. With the help of this composition, one can analyse the vector in the space after applying the different types of linear transformation. We will start with the concept of transformation then afterwards all the contents.
