Tutorial05 - T5-1City University of Hong Kong Electronic...

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Unformatted text preview: T5-1City University of Hong Kong Electronic Engineering Semester B 2007-2008 EE3108 Engineering Analysis Tutorial 5 This tutorial investigates Matlab implementation of the Gaussian elimination method. The result is application to linear systems of nequations. For convenience, we consider the following set of 4 equations: =4321432144434241343332312423222114131211bbbbxxxxaaaaaaaaaaaaaaaaThe elimination steps are performed on the following 4×5 matrix: =444434241334333231224232221114131211baaaabaaaabaaaabaaaaMThrough a repeated process of Gaussian elimination, the matrix Mcan be revisedand eventually reaches the form of: =4544353433252423221514131211mmmmmmmmmmmmmmMAfterwards, the backward substitution can be directly applied using M: 11212313414151223234242523343435344454/)(/)(/)(/−−−=...
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Tutorial05 - T5-1City University of Hong Kong Electronic...

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