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Condition number in terms of inner products for $A = I - uv^T$

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#linear-algebra #matrices #eigenvalues-eigenvectors #numerical-linear-algebra #condition-number
411
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What kind of networks is the eigenvector centrality made for?

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#eigenvalues-eigenvectors #network
968
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Calculate $A^5 - 27A^3 + 65A^2$, where $A$ is the matrix defined below.

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#matrices #eigenvalues-eigenvectors
189
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Invertibility of sum and difference of matrices

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#linear-algebra #matrices #eigenvalues-eigenvectors #inverse
263
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second largest singular value of a doubly-stochastic irreducible primitive matrix

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#linear-algebra #eigenvalues-eigenvectors #singular-values
1.4k
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Prove that the eigenvalues of a product of positive semidefinite matrices are nonnegative

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#linear-algebra #matrices #eigenvalues-eigenvectors #positive-semidefinite
95
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Eigenvalues of a matrix changed by a diagonal matrix

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#linear-algebra #eigenvalues-eigenvectors #matrix-decomposition
153
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Is there a generalization of eigen vector for higher-order tensor?

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#matrices #eigenvalues-eigenvectors #tensors
114
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Find eigenvalues/vectors of $A=\mathbf{u}\mathbf{v}^T+\mathbf{v}\mathbf{u}^T$ where $\mathbf{u},\mathbf{v}$ are orthonormal

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#eigenvalues-eigenvectors #orthonormal #symmetric-matrices
87
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Eigenvalues and singular values of $3 \times 3$

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#linear-algebra #eigenvalues-eigenvectors #singular-values
72
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Finding the general solution to a system of differential equations using eigenvalues

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#ordinary-differential-equations #eigenvalues-eigenvectors
62
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Wavenumbers of time-harmonic maxwell equation

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#ordinary-differential-equations #eigenvalues-eigenvectors #partial-derivative #curl
96
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Eigen Value of differential equation

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#linear-algebra #ordinary-differential-equations #eigenvalues-eigenvectors #linear-transformations
1.5k
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is there is relation between nullity and geometric multiplicity

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#linear-algebra #eigenvalues-eigenvectors
27
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Eigenspace for the following matrix

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#eigenvalues-eigenvectors

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