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Eigenvectors and Eigenvalues [PDF]
This chapter gives the basic elementary properties of eigenvectors and eigenvalues. We get an application of determinants in computing the characteristic polynomial. In ยง3, we also get an elegant mixture of calculus and linear algebra by relating eigenvectors with the problem of finding the maximum and minimum of a quadratic function on the sphere ...
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Tensor Eigenvalues and Their Applications
, 2018L. Qi, Yannan Chen, Haibin Chen
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1997
The decomposition of a matrix A into a product of two or three matrices can (depending on the characteristics of those matrices) be a very useful first step in computing such things as the rank, the determinant, or an (ordinary or generalized) inverse (of A) as well as a solution to a linear system having A as its coefficient matrix.
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The decomposition of a matrix A into a product of two or three matrices can (depending on the characteristics of those matrices) be a very useful first step in computing such things as the rank, the determinant, or an (ordinary or generalized) inverse (of A) as well as a solution to a linear system having A as its coefficient matrix.
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1992
Unless otherwise noted, we will assume throughout this chapter that all vector spaces are finite dimensional.
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Unless otherwise noted, we will assume throughout this chapter that all vector spaces are finite dimensional.
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On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain
, 1931H. Bethe
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