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Cholesky matrix properties

score 1.8k · Answer 1 · 2026-05-10 22:28:52

1.8k

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Cholesky matrix properties

Published on 10 May 2026 - 22:28

score 2.1k · Answer 2 · 2026-05-11 07:21:36

2.1k

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Every self-adjoint matrix is unitarily similar to a diagonal matrix

Published on 11 May 2026 - 7:21

score 50 · Answer 3 · 2026-05-04 12:25:39

50

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Show that there is a sequence $t_m\to\infty$ such that $\text{diag}(e^{t_m\theta_1},\dots,e^{t_m\theta_n})\to\text{id}$

Published on 04 May 2026 - 12:25

score 880 · Answer 4 · 2026-05-10 20:50:52

880

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Proof that trace is non-negative: positive definite matrix and a vector

Published on 10 May 2026 - 20:50

score 2.7k · Answer 5 · 2026-04-22 20:17:25

2.7k

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Why does every symplectic matrix $M\in{\rm Sp}(2n,{\Bbb R})$ admit a symplectic eigenbasis?

Published on 22 Apr 2026 - 20:17

score 780 · Answer 6 · 2026-05-14 17:16:04

780

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Minimize $ \mbox{tr} ( X^T A X ) + \lambda \mbox{tr} ( X^T B ) $ subject to $ X^T X = I $ - Linear Matrix Function with Norm Equality Constraint

Published on 14 May 2026 - 17:16

score 64 · Answer 7 · 2026-04-11 02:31:04

64

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When does $\|p\|_k$ define a norm on $V$?

Published on 11 Apr 2026 - 2:31

score 162 · Answer 8 · 2026-05-10 13:47:05

162

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Team Ranking Model vs Graph Theory Model

Published on 10 May 2026 - 13:47

score 42 · Answer 9 · 2026-05-11 01:48:24

42

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Is the inner product distributive in this sense?

Published on 11 May 2026 - 1:48

score 238 · Answer 10 · 2026-04-14 08:16:02

238

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Connectedness of a subset of structured matrices satisfying prescribed conditions on roots of polynomials

Published on 14 Apr 2026 - 8:16

score 30 · Answer 11 · 2026-05-11 06:21:51

30

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coordinate change on two hypersurfaces

Published on 11 May 2026 - 6:21

score 3.2k · Answer 12 · 2026-04-14 09:16:56

3.2k

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Every affine set can be expressed as the solution set of a system of linear equations

Published on 14 Apr 2026 - 9:16

score 65 · Answer 13 · 2026-04-11 08:53:05

65

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Can we continuously choose vectors from kernels of resolvent like operator?

Published on 11 Apr 2026 - 8:53

score 580 · Answer 14 · 2026-05-10 19:02:40

580

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(Linear Regression) Proving that Linear Regression is linear invariant

Published on 10 May 2026 - 19:02

score 52 · Answer 15 · 2026-04-24 13:11:24

52

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decomposition of vector space over a field $\mathbb F$

Published on 24 Apr 2026 - 13:11

List Question

Cholesky matrix properties

Every self-adjoint matrix is unitarily similar to a diagonal matrix

Show that there is a sequence $t_m\to\infty$ such that $\text{diag}(e^{t_m\theta_1},\dots,e^{t_m\theta_n})\to\text{id}$

Proof that trace is non-negative: positive definite matrix and a vector

Why does every symplectic matrix $M\in{\rm Sp}(2n,{\Bbb R})$ admit a symplectic eigenbasis?

Minimize $ \mbox{tr} ( X^T A X ) + \lambda \mbox{tr} ( X^T B ) $ subject to $ X^T X = I $ - Linear Matrix Function with Norm Equality Constraint

When does $\|p\|_k$ define a norm on $V$?

Team Ranking Model vs Graph Theory Model

Is the inner product distributive in this sense?

Connectedness of a subset of structured matrices satisfying prescribed conditions on roots of polynomials

coordinate change on two hypersurfaces

Every affine set can be expressed as the solution set of a system of linear equations

Can we continuously choose vectors from kernels of resolvent like operator?

(Linear Regression) Proving that Linear Regression is linear invariant

decomposition of vector space over a field $\mathbb F$

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