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Eigenvalues, diagonalization and convergence of matrices

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#linear-algebra #matrices #eigenvalues-eigenvectors #diagonalization
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$T$ is reducible over the eigenspaces

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#linear-algebra #eigenvalues-eigenvectors
164
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Uniqueness of Degenerate Eigenfunctions

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#linear-algebra #matrices #eigenvalues-eigenvectors
127
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Asymmetric random walks: eigenvalues and spectral gap

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#probability-theory #stochastic-processes #eigenvalues-eigenvectors #markov-chains #random-walk
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Is it possible for an eigenspace to have more than one vector in its basis? What would that imply? Would every vector in the basis be an eigenvector?

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#linear-algebra #matrices #vector-spaces #eigenvalues-eigenvectors
52
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why is it called an eigenvalue in this situation

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#real-analysis #linear-algebra #ordinary-differential-equations #eigenvalues-eigenvectors
134
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Challenging linear algebra problem - n people are standing on a circle

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#linear-algebra #eigenvalues-eigenvectors
26
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Growth of a vector when projecting onto multiple (non-orthogonal) eigenspaces at once.

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#linear-algebra #ordinary-differential-equations #eigenvalues-eigenvectors
700
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Do similar matrices have same characteristic equations?

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31
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Eigenvalues of a special product

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#linear-algebra #matrices #eigenvalues-eigenvectors
224
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Left (right) eigenvalues of quaternion Matrix

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#eigenvalues-eigenvectors #intuition #quaternions
606
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Help using eigenvectors to solve Markov chain

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#eigenvalues-eigenvectors #markov-chains #steady-state
856
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Finding $k$ such that a given matrix has a real eigenvalue of algebraic multiplicity $2$

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#linear-algebra #eigenvalues-eigenvectors
31
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Alternative definition of diagonalisable transformation

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#vector-spaces #eigenvalues-eigenvectors #linear-transformations #diagonalization
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Eigenvalues and eigenfunctions of the Fredholm integral equation of the second kind

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#functional-analysis #eigenvalues-eigenvectors

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