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In singular value decomposition why is $V$ orthogonal matrix?

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#linear-algebra #matrices #matrix-decomposition #svd
121
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Are all eigenvalues of $((C^TQ_fC)^{-1} (C^TQ_gC))$ lie in $(0,1]$?

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#linear-algebra #eigenvalues-eigenvectors #matrix-decomposition #positive-definite
105
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SVD with symmetric positive definite

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#matrices #matrix-decomposition #positive-definite #symmetric-matrices #svd
195
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Recognize some 4-dimensional Lie algebra

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#group-theory #lie-groups #lie-algebras #matrix-decomposition
493
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How to switch rows in matrix L when decomposing matrix A into PA = LU?

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#matrices #matrix-decomposition #lu-decomposition
278
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Misunderstanding in Axler's Proof of Polar Decomposition

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#linear-algebra #matrix-decomposition
75
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Proof verification: $A=PR$, $A$ independent columns implies $R$ invertible

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#linear-algebra #matrices #proof-writing #solution-verification #matrix-decomposition
687
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Iwasawa decomposition of $SL(2,R)$. The order of KAN/ANK/NAK..

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#linear-algebra #lie-groups #matrix-decomposition
51
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Inequality between linear combinations of rank-one matrices?

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#inequality #permutations #matrix-decomposition #majorization
117
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Diagonal matrix factored into a product of two non-square matrices

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#linear-algebra #matrices #matrix-decomposition
82
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Determine the solution to a system, given only it's LU decomposition?

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#linear-algebra #matrices #matrix-equations #matrix-decomposition
167
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Can a square matrix be factored by non square matrices

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#linear-algebra #matrices #matrix-decomposition
332
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Counter example of LU decomposition uniqueness

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#linear-algebra #numerical-linear-algebra #matrix-decomposition #lu-decomposition
924
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$A$ is a symmetric positive-definite matrix it has square root using SVD

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#linear-algebra #numerical-linear-algebra #matrix-decomposition #svd #schur-decomposition
592
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Eigenvalues and matrix kronecker product

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#matrices #matrix-decomposition #kronecker-product

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