Matrices in computer applications

Matrices in computer applications

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  Matrices in Computer Applications ByRayyan Furtado Course:BBM E-Banking and Finance Section: A
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  Need For theStudy  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.
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  Objectives of theStudy  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.
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  Findings  Matrices areused 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.
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   Matrices arealso 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.
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  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.
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   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.
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  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..