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Linear Transformations of Euclidean Vector Space
| Content Provider | Scilit |
|---|---|
| Author | Shah, Nita H. Chaudhari, Urmila B. |
| Copyright Year | 2020 |
| Description | 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 $R^{n}$ and w is a dependent variable in $R^{m}$ . We will concentrate on a special case as the transformation from $R^{n}$ to $R^{m}$ . 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. Book Name: Linear Transformation |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2020-0-17139-8&isbn=9781003105206&doi=10.1201/9781003105206-1&format=pdf |
| DOI | 10.1201/9781003105206-1 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2020-11-30 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Linear Transformation History and Philosophy of Science Function Mathematics Contraction Rotation Linear Transformation Branches Vector Space Chapter |
| Content Type | Text |
| Resource Type | Chapter |
