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The stretch factors of $A^T A$ are the eigenvalues of $A^T A$

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-decomposition #symmetry
51
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If $A(x)^{T}A(x) = C$, then $A(x) = O\widetilde{C}$ with $O$ Orthogonal?

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#matrices #matrix-equations #matrix-decomposition
4k
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Clarification on the SVD of a complex matrix

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#linear-algebra #matrices #matrix-decomposition #svd #singular-values
67
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Sufficient/necessary condition for submatrix determinant (minor) that decreases with size?

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#determinant #matrix-decomposition #matrix-rank #svd #monotone-functions
69
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Decomposition of a hermitian symmetric matrix.

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#matrices #matrix-decomposition #positive-semidefinite
62
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Dimension of real inner product with unitary transformation

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#linear-algebra #inner-products #orthogonality #matrix-decomposition #isometry
187
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Give a matrix function and a specific eigenvalue, how to calculate the eigenvector?

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#matrices #eigenvalues-eigenvectors #matrix-decomposition
48
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Difference between Collective Matrix Factorization, Joint MF, Linked MF and Coupled MF

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#matrices #algorithms #approximation #factoring #matrix-decomposition
225
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Simultaneous triangularization of two matrices

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#linear-algebra #matrices #matrix-decomposition #change-of-basis #triangularization
1.4k
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Decomposition of a skew-symmetric matrix

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#linear-algebra #matrices #matrix-decomposition
81
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How to deblur a image matrix blured by two circulant matrix?

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#matrices #matrix-calculus #matrix-decomposition #image-processing #circulant-matrices
1k
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Multivariate polynomials as matrix products?

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#matrices #polynomials #matrix-decomposition
95
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Show that the eigenvalues of $\mathcal{O}(n,\mathbb{R})$ have magnitude 1.

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#matrices #eigenvalues-eigenvectors #lie-groups #matrix-decomposition #orthogonal-matrices
61
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Computing the power of the matrix $A$

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#matrices #finite-fields #matrix-decomposition
1k
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A = LDU factorization. Question on conclusions.

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#linear-algebra #matrix-decomposition

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