Application of linear algebra in cse

Application of linear algebra in cse

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  Application Of Linear AlgebraIn CSE Rabeya Bashry Rubina 181-15-2015 Nusrat Jahan Nury 181-15-2019 Md Omar Faruk 181-15-1906 Md Jahid Hasdan 181-15-1905 Md Rezaul Tanvir Tuhin 181-15-1981 1
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   Linear algebrais the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. What Is Linear Algebra 2
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  History Of LinearAlgebra  Leibniz : 1693 Determinants  Gabriel Cramer :1750  Hermann Grassmann : 1844 Matrix 3
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  Ranking In SearchEngines  The most high profile use of linear algebra was in the creation of google. Their orginal ranking algorithom ,which has since surely become far more complicated, used a lot of linear algebra to rank which webpages should show up first. 4
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  Error Correcting Code Another unseen but widespread use of linear algebra is in coding theory.the problem is to encode data in such a way that if encoded data is tampered with a little bit,you can still recover the uncoded data. 5
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  Graphics  Pretty muchall graphics innovation since computers have existed have come from video games and movies.the central part of graphics is projecting a three dimensional scene onto a two dimensional screen. 6
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  Facial Recognition  Acool method for doing automated facial recognition uses a linear algebraic technic called principal component analysis. Essentially this is just finding a particularly good basis to represent a database of face images and using eigenfaces to rebuild the images. 7
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  Signal analysis  Audio video  Image  Modulation  Signal  Colorimetry  Automated 8
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  Prediction  The simplestmodels of prediction are linear models and these are developed and understood with linear algebra here for example is an article describing how to do linear regression. 9
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  In Computer Gaming 3D graphics, Rotation, placing camera in certain division.  3D effects programmed with shaders use linear algebra. 10
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  Quantum Computing  Generalquantum mechanics  Cryptosystems  Primary tool 11