We see that Transformation is done through only one Matrix called Transformation matrix and these Linear Transformation is very very applicable in various fields like Computer Graphics,Graphical User Interface,Image Processing and many more.In our Photoshop software you can perform many operations like crop,rotate,scale,zoom,filter,shear,etc using this theory of linear Transformation.
This type of 2-D Transformation are easily programmable in any computer language so,commercialization perspective of this project is,we can make our own Photoshop software like Adobe Photoshop.
In this site,we see all linear transformations in detail.Documents of the project are given in Documents page.All linear transformations are very important in the field of computer science and computer graphics.As we see that Matrices are very important in field of geometry and Animation.Matrices are also part of Discrete Mathematics,so I take this interesting Topic of Transformations using Matrices.Applications of Discrete Mathematics are mostly in Computer Science. Discrete Math is a collection of mathematical subjects that are essential to solve many Computer Science programming problems and Computer Graphics.
I take references from following sites...
Applications of Matrices in real life : click here
Transformation Matrix : click here
Visualization of Linear Transformation : click here