Importance of computational linear algebra
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Linear algebra spatial quantities . Here you'ar dealing with 2-, 3- or 4- demesonal vectors and you are concerned with rotations, projections, and other matrix operations that have some spatial interpretation . This is the kind of linear algebra thats comes up , for example in computer graphics or physics simulations.....i hope it helps you
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Numerical linear algebra is the study of algorithms for performing linear algebra computations, most notably matrix operations, on computers. It is often a fundamental part of engineering and computational science problems, such as image and signal processing, telecommunication, computational finance, materials science simulations, structural biology, data mining, bioinformatics, fluid dynamics, and many other areas. Such software relies heavily on the development, analysis, and implementation of state-of-the-art algorithms for solving various numerical linear algebra problems, in large part because of the role of matrices in finite difference and finite element methods.
Common problems in numerical linear algebra include computing the following: LU decomposition, QR decomposition, singular value decomposition, eigenvalues.