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Help in proving linear algebra about inverse of a symmetric matrix

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#linear-algebra #matrices #inverse #symmetric-matrices #orthogonal-matrices
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Trace of symmetric matrix product

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#linear-algebra #matrices #symmetric-matrices
76
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A problem about positive-define

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#linear-algebra #positive-definite #symmetric-matrices
762
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Computing the Symmetric Kronecker Product

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#matrices #matrix-equations #computational-mathematics #symmetric-matrices #kronecker-product
567
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Conditions on off-diagonal elements of a 2x2 density matrix

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#matrices #physics #symmetric-matrices #positive-semidefinite
327
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The number of negative eigenvalues of the difference between two positive semidefinite matrices

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#linear-algebra #eigenvalues-eigenvectors #matrix-rank #symmetric-matrices #positive-semidefinite
58
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If $A,B,C$ s.t. $A=BC$, then for any nonsingular $S$, $SAS^*=(SBS^*)C'$ where $C'$ is similar to $C$

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#linear-algebra #matrices #symmetric-matrices
204
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Eigenvectors belonging to distinct eigenvalues of a complex symmetric matrix are orthogonal?

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#linear-algebra #eigenvalues-eigenvectors #orthogonality #symmetric-matrices
169
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Efficiently computing symmetric Toeplitz matrix such that $Tx=y$

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#linear-algebra #matrices #matrix-equations #symmetric-matrices #toeplitz-matrices
1.1k
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Is it possible to normalize a symmetric matrix without breaking symmetry?

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#matrices #graph-theory #symmetric-matrices #adjacency-matrix
127
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Eigenvalues and eigenvectors of a symmetric matrix

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#linear-algebra #eigenvalues-eigenvectors #symmetric-matrices
904
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The product of a matrix with it's transpose is always semi-definite positive

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#linear-algebra #quadratic-forms #symmetric-matrices #positive-semidefinite
14.5k
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Why is the maximum Rayleigh quotient equal to the maximum eigenvalue?

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#matrices #eigenvalues-eigenvectors #symmetric-matrices #transpose
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Eigenvectors of the repeated eigenvalues for a symmetric matrix

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#linear-algebra #eigenvalues-eigenvectors #symmetric-matrices
96
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w = RsR', solve for R where w, s are known, symmetric and PD. R is orthogonal with det(R)=1

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#linear-algebra #rotations #positive-definite #symmetric-matrices

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