List questions from trace

Published on 28 Apr 2021 - 14:47

32

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Maximize $\mathbb{E}_{x}\left\{\|H x\|_{2}^{2}\right\}$ subject to ${trace}\left\{Covariance_{x x}\right\}=\alpha>0 .$

Published on 01 May 2021 - 2:39

65

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Trace of $W^{k,p}(\Omega)$ space is $W^{k-1/p,p}(\partial \Omega)$

Published on 03 May 2021 - 11:04

52

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Orthogonal matrix $O$ maximising $Tr(OM)$.

Published on 30 Mar 2026 - 4:38

43

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Show $\operatorname{tr}(X^T X Y^{T}\Lambda Y\Phi) \geq \lambda_n\operatorname{tr}(X^T X Y^{T} Y\Phi)$

Published on 06 May 2021 - 13:16

35

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Compactness in trace norm.

Published on 08 May 2021 - 14:53

60

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Is this matrix differentiation derivation correct?

Published on 10 May 2021 - 11:25

80

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derivative of trace of product of a matrix by its transpose

Published on 27 Mar 2026 - 22:31

153

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Show that $\mathbb{E}[Tr(X)]=Tr(E[X])$

Published on 12 May 2021 - 18:48

20

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Why is $Tr(AP)=\sum^p_{j=1}\lambda_j(e_je_j^TBB^T)?$

Published on 30 Mar 2026 - 14:20

90

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Matrix Trace Equivalence Relation Proof Question.

Published on 17 May 2021 - 17:44

49

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Finding the matrix of a linear endomorphism of $2\times 3$ matrices, given by $\xi \mapsto \psi \xi \varphi$ for $\psi$ and $\varphi$ given matrices

Published on 18 May 2021 - 13:12

108

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Trace theorem in Sobolev space

Published on 19 May 2021 - 21:55

88

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Help with reasoning for $\operatorname{tr}(D^2) = 0 \implies D = 0$ where D is a diagonal matrix

Published on 21 May 2021 - 12:05

58

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show that $M \mapsto \max( \{ \operatorname{Tr}(OM) \mid O \in O_n ( \mathbb R )\})$ with is continuous

Published on 30 Mar 2026 - 16:09

List Question

Computing trace of matrix

Maximize $\mathbb{E}_{x}\left\{\|H x\|_{2}^{2}\right\}$ subject to ${trace}\left\{Covariance_{x x}\right\}=\alpha>0 .$

Trace of $W^{k,p}(\Omega)$ space is $W^{k-1/p,p}(\partial \Omega)$

Orthogonal matrix $O$ maximising $Tr(OM)$.

Show $\operatorname{tr}(X^T X Y^{T}\Lambda Y\Phi) \geq \lambda_n\operatorname{tr}(X^T X Y^{T} Y\Phi)$

Compactness in trace norm.

Is this matrix differentiation derivation correct?

derivative of trace of product of a matrix by its transpose

Show that $\mathbb{E}[Tr(X)]=Tr(E[X])$

Why is $Tr(AP)=\sum^p_{j=1}\lambda_j(e_je_j^TBB^T)?$

Matrix Trace Equivalence Relation Proof Question.

Finding the matrix of a linear endomorphism of $2\times 3$ matrices, given by $\xi \mapsto \psi \xi \varphi$ for $\psi$ and $\varphi$ given matrices

Trace theorem in Sobolev space

Help with reasoning for $\operatorname{tr}(D^2) = 0 \implies D = 0$ where D is a diagonal matrix

show that $M \mapsto \max( \{ \operatorname{Tr}(OM) \mid O \in O_n ( \mathbb R )\})$ with is continuous

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