List questions from trace

Published on 27 Mar 2026 - 2:35

55

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Find $\frac{\partial}{\partial a_{i,j}} \left[ \mathbf{c}^T (s \mathbf{I} - \mathbf{A})^{-1} \mathbf{b} \right] $

Published on 02 Jun 2022 - 14:49

107

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On the absolute value of an Integral operator.

Published on 13 Jun 2022 - 6:25

232

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Derivative of the determinant

Published on 16 Jun 2022 - 16:14

97

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"Scalar part" of algebras over a field; how "natural" is the trace map?

Published on 27 Mar 2026 - 11:48

74

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Using the trace to simplify the sum of matrices

Published on 20 Jun 2022 - 0:46

41

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Show that $(x-a)^T(x-a)=\text{tr}(x_c, x_c)+n(a-\bar x)^2$

Published on 20 Jun 2022 - 20:33

268

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Trace of positive definite matrix trick

Published on 21 Jun 2022 - 3:59

73

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Trace-maximizing orthogonal rotation

Published on 27 Mar 2026 - 12:29

84

Views

What is the trace of the square of the matrix $T_{ij}=t_{i-j}$, with $t_k=t_{-k}=c^k/k$?

Published on 25 Mar 2026 - 21:31

55

Views

Can ${\rm Trace}(\phi R \phi^{\rm T})$ be lower bounded by $\varepsilon \, {\rm Trace}(R)$ for some $\varepsilon > 0$?

Published on 01 Jul 2022 - 15:30

82

Views

Range of trace of projections in II$_1$ factor

Published on 01 Apr 2026 - 2:07

41

Views

Sign of $\operatorname{Tr}(e^{-A^*A}B)$

Published on 03 Jul 2022 - 18:39

209

Views

$\operatorname{tr}(A^k)=0 \space \forall k\in \Bbb{Z}^+$ implies $A$ is nilpotent. Does this imply $\operatorname {char}(K) =0$?

Published on 03 Jul 2022 - 18:48

99

Views

If $\frac{\mbox{Tr}(AB)}{\mbox{Tr}(B)} = 1$ for every $B \succeq 0$, then $A=I$

Published on 30 Mar 2026 - 20:44

List Question

Derivative of Kronecker product inside a Frobenius norm

Find $\frac{\partial}{\partial a_{i,j}} \left[ \mathbf{c}^T (s \mathbf{I} - \mathbf{A})^{-1} \mathbf{b} \right] $

On the absolute value of an Integral operator.

Derivative of the determinant

"Scalar part" of algebras over a field; how "natural" is the trace map?

Using the trace to simplify the sum of matrices

Show that $(x-a)^T(x-a)=\text{tr}(x_c, x_c)+n(a-\bar x)^2$

Trace of positive definite matrix trick

Trace-maximizing orthogonal rotation

What is the trace of the square of the matrix $T_{ij}=t_{i-j}$, with $t_k=t_{-k}=c^k/k$?

Can ${\rm Trace}(\phi R \phi^{\rm T})$ be lower bounded by $\varepsilon \, {\rm Trace}(R)$ for some $\varepsilon > 0$?

Range of trace of projections in II$_1$ factor

Sign of $\operatorname{Tr}(e^{-A^*A}B)$

$\operatorname{tr}(A^k)=0 \space \forall k\in \Bbb{Z}^+$ implies $A$ is nilpotent. Does this imply $\operatorname {char}(K) =0$?

If $\frac{\mbox{Tr}(AB)}{\mbox{Tr}(B)} = 1$ for every $B \succeq 0$, then $A=I$

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