List questions from symmetric-matrices

97

Views

How to obtain the inverse of $MSM^T$ when $(MM^T)^{-1}$ is already known and $S$ is an invertible symmetric matrix?

Published on 12 Jul 2016 - 13:28

43

Views

Question about $\mathbb{Z}^2 \otimes \text{sym}^2\mathbb{Z}^3$.

Published on 15 Jul 2016 - 19:34

138

Views

Is there a non-trivial special orthogonal transform which preserves the diagonal elements of a symmetric matrix with positive entries?

Published on 26 Mar 2026 - 2:58

1.3k

Views

Show that the diagonal elements are not all $0$

Published on 20 Jul 2016 - 19:45

25

Views

Matrix identity with symmetry conditions

Published on 21 Jul 2016 - 16:00

252

Views

PCA for antisymmetric matrix

Published on 29 Mar 2026 - 9:47

274

Views

Matrix differential equation of the form $X'=CX$

Published on 27 Mar 2026 - 3:41

1k

Views

Find the eigenvalues of a symmetric matrix

Published on 25 Mar 2026 - 4:38

2.8k

Views

Orthogonal Projection of a Matrix onto the Set of Symmetric Matrices

Published on 27 Mar 2026 - 5:38

365

Views

On sum of determinants

Published on 28 Mar 2026 - 6:22

482

Views

Dimension of the space of symmetric matrices

Published on 02 Aug 2016 - 17:57

154

Views

Let $k$ be an odd integer and $A$ and $B$ real symmetric matrices with $A^k=B^k$, then $A=B$.

Published on 02 Aug 2016 - 18:20

533

Views

Positive eigenvalues of Gramian matrix $W = O^TO$, where $O$ is full rank.

Published on 09 Aug 2016 - 22:02

766

Views

Symmetric matrix decomposition

Published on 18 Aug 2016 - 15:28

854

Views

Block inversion when Schur-complement is zero

Published on 26 Mar 2026 - 1:26

List Question

How to obtain the inverse of $MSM^T$ when $(MM^T)^{-1}$ is already known and $S$ is an invertible symmetric matrix?

Question about $\mathbb{Z}^2 \otimes \text{sym}^2\mathbb{Z}^3$.

Is there a non-trivial special orthogonal transform which preserves the diagonal elements of a symmetric matrix with positive entries?

Show that the diagonal elements are not all $0$

Matrix identity with symmetry conditions

PCA for antisymmetric matrix

Matrix differential equation of the form $X'=CX$

Find the eigenvalues of a symmetric matrix

Orthogonal Projection of a Matrix onto the Set of Symmetric Matrices

On sum of determinants

Dimension of the space of symmetric matrices

Let $k$ be an odd integer and $A$ and $B$ real symmetric matrices with $A^k=B^k$, then $A=B$.

Positive eigenvalues of Gramian matrix $W = O^TO$, where $O$ is full rank.

Symmetric matrix decomposition

Block inversion when Schur-complement is zero

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