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When to break a matrix into low rank and diagonal component?

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#matrices #matrix-decomposition #matrix-rank
506
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What is the proof behind positive definite matrix $A=QQ^T$?

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#linear-algebra #matrices #matrix-decomposition #positive-definite
46
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Categorizing (and constructing) a matrix which has a full-rank kernel

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#linear-algebra #matrix-decomposition
55
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NMF factorization to get the desired matrix

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#optimization #numerical-linear-algebra #matrix-decomposition #image-processing #nonnegative-matrices
680
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Why WolframAlpha does LU decomposition with pivoting even when it isn't needed?

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#linear-algebra #matrices #matrix-decomposition #wolfram-alpha #lu-decomposition
219
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Inertia of the matrix $\frac{1}{(i+j)!}$

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#linear-algebra #matrices #functional-analysis #matrix-calculus #matrix-decomposition
262
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Least Square and Gram-Schmidt - inconsistency in Introduction to Linear Algebra 4th edition

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#linear-algebra #matrix-decomposition #least-squares
308
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SL Decomposition of $\begin{pmatrix} 5 & -4 \\ 9 & -7 \end{pmatrix}$

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#linear-algebra #matrices #group-theory #matrix-decomposition
59
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Interpreting the Jordan Normal Form

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#matrices #matrix-decomposition #jordan-normal-form
156
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Decompose stochastic matrix in product of two stochastic matrices

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#matrices #markov-chains #matrix-decomposition #stochastic-matrices
175
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Eigenvalue argument of polar decomposition

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#linear-algebra #matrices #matrix-decomposition
68
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Matrix existence problem

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#matrix-decomposition #orthonormal
227
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Decompose initial value problem into semi-simple and nilpotent matrices

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#matrices #eigenvalues-eigenvectors #matrix-decomposition #nonlinear-system
57
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Does this matrix equality hold? How to prove it? $B \bullet A=B\bullet U\Lambda U^T=U^TBU\bullet A$?

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#linear-algebra #matrices #inner-products #matrix-equations #matrix-decomposition
320
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Indecomposable Lie algebras

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#linear-algebra #lie-algebras #matrix-decomposition

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