Question

Prove that $Tr((AB^2)A)=Tr(A^2B^2)$

score 4k · Answer 1 · 2015-02-09 05:11:03

4k

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Prove that $Tr((AB^2)A)=Tr(A^2B^2)$

Published on 09 Feb 2015 - 5:11

score 3k · Answer 2 · 2015-02-09 10:34:21

3k

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If $\mathrm{Tr}(A)=0$ then $T=R^{-1}AR$ has all entries on its main diagonal equal to $0$

Published on 09 Feb 2015 - 10:34

score 63 · Answer 3 · 2015-02-09 19:52:37

63

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$A^{\dagger}A\geq B^{\dagger}B$. Can we say that $|Tr[A]|\geq |Tr[B]|$?

Published on 09 Feb 2015 - 19:52

score 8.1k · Answer 4 · 2015-02-10 03:44:28

8.1k

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Derivative of trace of inverse matrix?

Published on 10 Feb 2015 - 3:44

score 552 · Answer 5 · 2015-02-10 14:34:12

552

Views

Prove that $\det(A^p+B^p)=\det (A^p)+\det(B^p) +\operatorname{tr}\left(\left(A\operatorname{adj}(B)\right)^p\right)$

Published on 10 Feb 2015 - 14:34

score 172 · Answer 6 · 2015-02-13 14:02:00

172

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Let $\rho : G \rightarrow GL_n(\mathbb{C})$ be a representation show that $|\operatorname{tr} X| \leq \dim \rho$

Published on 13 Feb 2015 - 14:02

score 46 · Answer 7 · 2015-02-18 00:30:15

46

Views

Is it possible to express this term by using "trace function"?

Published on 18 Feb 2015 - 0:30

score 362 · Answer 8 · 2026-03-25 07:53:27

362

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Bijections of a finite field that preserve the kernel of the trace

Published on 25 Mar 2026 - 7:53

score 259 · Answer 9 · 2026-03-27 23:00:43

259

Views

Factoring out the trace of a matrix

Published on 27 Mar 2026 - 23:00

score 375 · Answer 10 · 2015-02-26 23:28:44

375

Views

Trace in finite Fields

Published on 26 Feb 2015 - 23:28

score 73 · Answer 11 · 2015-02-27 20:17:10

73

Views

Orthogonal matrix simple identity?

Published on 27 Feb 2015 - 20:17

score 244 · Answer 12 · 2015-03-04 15:46:54

244

Views

If $A \in M(n , \mathbb R) $ be such that $A^2=A$ , then is it true that $rank (A)=Trace(A)$ ?

Published on 04 Mar 2015 - 15:46

score 147 · Answer 13 · 2015-03-09 05:41:01

147

Views

Trace of Matrices multiplication

Published on 09 Mar 2015 - 5:41

score 292 · Answer 14 · 2015-03-10 01:03:14

292

Views

Finite field question involving the trace and a permutation.

Published on 10 Mar 2015 - 1:03

score 248 · Answer 15 · 2026-03-29 15:16:09

248

Views

Why the equality of spectral zeta functions imply the isospectrality?

Published on 29 Mar 2026 - 15:16

List Question

Prove that $Tr((AB^2)A)=Tr(A^2B^2)$

If $\mathrm{Tr}(A)=0$ then $T=R^{-1}AR$ has all entries on its main diagonal equal to $0$

$A^{\dagger}A\geq B^{\dagger}B$. Can we say that $|Tr[A]|\geq |Tr[B]|$?

Derivative of trace of inverse matrix?

Prove that $\det(A^p+B^p)=\det (A^p)+\det(B^p) +\operatorname{tr}\left(\left(A\operatorname{adj}(B)\right)^p\right)$

Let $\rho : G \rightarrow GL_n(\mathbb{C})$ be a representation show that $|\operatorname{tr} X| \leq \dim \rho$

Is it possible to express this term by using "trace function"?

Bijections of a finite field that preserve the kernel of the trace

Factoring out the trace of a matrix

Trace in finite Fields

Orthogonal matrix simple identity?

If $A \in M(n , \mathbb R) $ be such that $A^2=A$ , then is it true that $rank (A)=Trace(A)$ ?

Trace of Matrices multiplication

Finite field question involving the trace and a permutation.

Why the equality of spectral zeta functions imply the isospectrality?

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