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PCA for antisymmetric matrix

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#matrices #eigenvalues-eigenvectors #matrix-decomposition #symmetric-matrices #principal-component-analysis
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Solving Systems of linear equations between a square matrix and a rectangular matrix with block decomposition

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#linear-algebra #matrices #matrix-decomposition
56
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skew symmetric matrice

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165
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Invertibility of $U+I$ where $U$ comes from a SVD $M=USV'$

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#linear-algebra #matrices #matrix-decomposition
223
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Interpretation of *congruence for complex matrices

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#matrix-decomposition #congruence-relations #matrix-congruences
124
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Eigenvalues of special $n \times n$ matrix

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23.8k
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LU Decomposition vs. Cholesky Decomposition

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503
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Product Structure Of $GL(n,\mathbb{R})$, And A Geometric Interpretation

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#linear-algebra #matrices #group-theory #algebraic-topology #matrix-decomposition
163
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Find $X$ such that $XX'=AA'-BB'$ where $A$ and $B$ are known real matrices

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#linear-algebra #matrices #numerical-linear-algebra #matrix-equations #matrix-decomposition
1.2k
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How to find the correct order to multiply elimination matrices?

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841
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How to find the $LU$ factorization of a matrix $A$ when elimination breaks down

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#linear-algebra #matrices #numerical-methods #matrix-decomposition
985
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Usage of LU decomposition over UL decomposition

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991
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Structre of R in QR factorization for a matrix that its odd columns are orthogonal to its even columns

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2.4k
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Finding Euler decomposition of a symplectic matrix

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#linear-algebra #matrices #matrix-decomposition #svd #symplectic-linear-algebra
165
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Bijection from $\textrm{GL}_n/O_n$ onto the set of symmetric matrices.

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