List questions from matrix-decomposition

Published on 28 Mar 2026 - 17:39

106

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Spectral Decomposition of the matrix $ \begin{bmatrix} 2 & i & 1 \\- i & 2 & i \\ 1 & -i & 2 \end{bmatrix} $

Published on 10 Oct 2017 - 4:13

1.1k

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Condition number for matrix of eigenvectors of a diagonally dominant matrix

Published on 10 Oct 2017 - 23:10

316

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How do I expand a matrix in terms of a sum of simpler matrices?

Published on 03 Apr 2026 - 9:28

133

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If $\mathbf{A} = \mathbf{LL}^{\top}$, can we find $\mathbf{LDL}^{\top}$ for diagonal $\mathbf{D}$ without computing the decompositon?

Published on 13 Oct 2017 - 21:55

3.2k

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Finding an eigenvalue decomposition of a $2m\times 2m$ Hermitian matrix

Published on 15 Oct 2017 - 7:28

1.1k

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How to prove the existence of singular value decomposition using Schur decomposition?

Published on 29 Mar 2026 - 4:47

153

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How to decompose a vector into a sum of subvector with kronecker product？

Published on 26 Mar 2026 - 12:35

1.8k

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Covariance matrix decomposition - is $A^T\Sigma' A = A\Sigma' A^T$?

Published on 04 Apr 2026 - 3:52

181

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For a function $f(A)$ where $A$ is a matrix prove that the following.

Published on 04 Apr 2026 - 8:33

1.6k

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All rank-1 matrices have an SVD

Published on 23 Feb 2026 - 10:45

1.3k

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Finding eigenvalues in almost tridiagonal matrix

Published on 25 Mar 2026 - 16:38

57

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how to get the result of matrices

Published on 03 Apr 2026 - 9:35

203

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Matrix exponential in the time propagation by the free Dirac equation

Published on 28 Mar 2026 - 6:01

568

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Significance of Permutation Vector Ordering in QR Decomposition

Published on 31 Mar 2026 - 8:10

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Kernel and Image of 3 space

Spectral Decomposition of the matrix $ \begin{bmatrix} 2 & i & 1 \\- i & 2 & i \\ 1 & -i & 2 \end{bmatrix} $

Condition number for matrix of eigenvectors of a diagonally dominant matrix

How do I expand a matrix in terms of a sum of simpler matrices?

If $\mathbf{A} = \mathbf{LL}^{\top}$, can we find $\mathbf{LDL}^{\top}$ for diagonal $\mathbf{D}$ without computing the decompositon?

Finding an eigenvalue decomposition of a $2m\times 2m$ Hermitian matrix

How to prove the existence of singular value decomposition using Schur decomposition?

How to decompose a vector into a sum of subvector with kronecker product？

Covariance matrix decomposition - is $A^T\Sigma' A = A\Sigma' A^T$?

For a function $f(A)$ where $A$ is a matrix prove that the following.

All rank-1 matrices have an SVD

Finding eigenvalues in almost tridiagonal matrix

how to get the result of matrices

Matrix exponential in the time propagation by the free Dirac equation

Significance of Permutation Vector Ordering in QR Decomposition

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