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Direct Sum and Diagonalization with a Linear Map

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#linear-algebra #eigenvalues-eigenvectors #diagonalization #direct-sum
162
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Determinant of a magic square using eigen values

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#matrices #eigenvalues-eigenvectors #determinant
133
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Why is the conjugate of an eigenpair also an eigenpair

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#eigenvalues-eigenvectors
73
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Finding non-trivial eigenvectors for matrices with transcendental eigenvalues

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#eigenvalues-eigenvectors
1.5k
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Commuting Linear Transformations

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations
148
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Does a norm ball around a real matrix contain all possible pairs of complex spectrum?

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#linear-algebra #eigenvalues-eigenvectors #perturbation-theory
123
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Coinciding linear operators on eigen values and eigen vectors.

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#eigenvalues-eigenvectors
607
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Nilpotent Transformations and Invariant Subspaces

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#linear-algebra #matrices #eigenvalues-eigenvectors #linear-transformations #invariant-subspace
87
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Limit of an operator and eigenvalues

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#limits #eigenvalues-eigenvectors #operator-theory #hilbert-spaces #compact-operators
131
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Let $f$ and $g$ be two linear operators, show that eigenvalues of $g$ are of the form $a, a-1, a-2, \ldots, a - (n - 1)$?

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#linear-algebra #vector-spaces #eigenvalues-eigenvectors #linear-transformations #generalized-eigenvector
413
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Diagonal matrix of a Basis

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #diagonalization
664
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matrix eigenvalue problem for a skew symmetric matrix of order 5

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#matrices #proof-verification #eigenvalues-eigenvectors
42
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Diagonalizable Endomorphisms of finite-dimensional vectorspaces

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#matrices #eigenvalues-eigenvectors
282
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Bounding the difference of rank-1 matrices

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#linear-algebra #eigenvalues-eigenvectors #matrix-rank #upper-lower-bounds
167
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If a bounded operator has finitely many eigenvalues above zero, is it compact?

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#functional-analysis #eigenvalues-eigenvectors #compact-operators

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