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eigenvector |
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eigenvector [ˈaɪgənˌvɛktə] n (Mathematics) Maths Physics a vector x satisfying an equation Ax = λx, where A is a square matrix and λ is a constant How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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| The book provides guidance not only on systems of linear equations and matrix algebra but also on the often-harder-to-grasp topics of vector spaces, linear transformations, determinants, and eigenvector problems. Property 4 If the sum of the entries of each row in A is equal to the same number k, then k itself is an eigenvalue that corresponds to the eigenvector [1; 1; . First, introduce the Green's tensor and take its Fourier transform in time and space; then, expand the transformed Green's tensor according to the eigenvector of the Christoffel matrix, and decompose the fields into downgoing waves and upgoing waves; third, use boundary conditions to interatively get the solution in the transform domain in a form of "generalized ray" series; finally, use the Willis inversion technique to get the solution. |
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