Matrices in computer applications

For studying how matrices help and function in Computer Applications by Rayyan Furtado

1. Matrices in Computer Applications By Rayyan Furtado Course:BBM E-Banking and Finance Section : A

2. Need For the Study To learn about Matrices and how its used in Computers and Computer based Applications. To show where and in what all fields it is most relevant and exquisitely used for. To show how modification in Matrix variables can further change results in either Image processing or graphics etc. To know its uses and purposes.

3. Objectives of the Study To show how changes in Matrix variables can further change results in either Image processing or graphics etc. To learn about attaining Codes or Messages through encryption of Matrix Variables. To show how Matrix is used to scale, rotate translate and distort an existing Image and transform its structure.

4. Findings Matrices are used for making Graphics and for Creating and modifying Images. Images are a collection of points, in this case matrix co ordinates are used to represent these points. The Images formed can be further transformed or mutated by changing these co ordinates. Matrices are also used for encryption/decryption of codes or messages.

5. Matrices are also used for encryption/decryption of codes or messages. Matrices are also used for creating 2 Dimensional and 3 Dimensional Graphical images. The accumulated collection of these points after being modified generates the final image , this is also known as rendering.

6. Analysis and Interpretation Any object or image can be described as a set of points, here the same matrix can be used for numerous operations just by changing individual elements. This changing of elements to get desired effects is known as Matrix Transformation. Taking an example, say original image is ‘A’ transformed image is ‘B’ and ‘T’ is the change.

7. Here ‘T’ is the transformation matrix, Then B=A×T T is just elements of Matrix capable of producing changes like scaling, texture, rotation, shearing, adjustments etc. This way Matrices are used in graphics and image processing and modification.

8. Suggestions and Conclusions Matrices play a vital role in Computer applications, especially when it comes to graphics and image processing. Without the application of Matrices it would be very complicated to run various computer functions. It is also used in other computer functions like binary code encryption/decryption, for creating/modifying graphical tabulation etc..