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Transformation restriction to commutative matrices

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#linear-algebra #matrices #eigenvalues-eigenvectors #linear-transformations #invariant-subspace
154
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Eigenvalues of $A+A^{T}$

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#linear-algebra #matrices #eigenvalues-eigenvectors #transpose
93
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Eigenvalues of $A +A^{-1}$

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#linear-algebra #matrices #eigenvalues-eigenvectors #inverse
143
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Eigenvalues of a complete connected network

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#matrices #eigenvalues-eigenvectors #determinant #network
364
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The gradient of the Frobenius norm under a similarity transformation

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#calculus #linear-algebra #matrices #control-theory #numerical-optimization
99
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can a function of a diagonalizable matrix be non-diagonalizable?

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#matrices #matrix-decomposition
64
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Matrix functions which are not scalar coefficient power series expansions.

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#matrices #soft-question #power-series #diagonalization
423
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Given two non-commuting matrices, can we always find another nontrivial matrix that commute with each of them?

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#linear-algebra #matrices
6.9k
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If $\lambda$ is a characteristic root of a non-singular matrix $A$, then prove that $\det(A)/\lambda$ is a characteristic root of $\mathrm{Adj}(A)$.

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#linear-algebra #matrices
606
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Redundant Vectors in Singular Value Decomposition

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-decomposition #svd
1.8k
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How many elements of a 3x3 Rotation matrix are redundant?

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#matrices #rotations
76
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Det of matrix $4\times 4$

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#matrices #determinant
14.4k
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Matrix vector form. Is this in the correct form?

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#linear-algebra #matrices #systems-of-equations
90
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Any O(N^2) method for finding the eigenvalues of J-Hermitian (complex Hamiltonian) matrix?

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#matrices #eigenvalues-eigenvectors
49
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If $n > m$, is the space of real matrices of rank $m$, dense in $M_{n \times m}(\mathbb{R})$? and some differential topology.

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#linear-algebra #matrices #differential-topology

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