Question

If $\langle A,B \rangle=0$ for two symmetric matrices, what about $\langle A,B^{-1}\rangle $?

score 33 · Answer 1 · 2020-11-24 16:54:07

33

Views

If $\langle A,B \rangle=0$ for two symmetric matrices, what about $\langle A,B^{-1}\rangle $?

Published on 24 Nov 2020 - 16:54

score 412 · Answer 2 · 2020-11-25 16:09:54

412

Views

How to prove this inequality on trace of inverse of a positive definite matrix?

Published on 25 Nov 2020 - 16:09

score 146 · Answer 3 · 2026-03-26 17:29:13

146

Views

How can I show that: $\text{Tr}(A^A)=\sum_{\lambda\in\sigma(A^A)}\lambda$?

Published on 26 Mar 2026 - 17:29

score 700 · Answer 4 · 2020-11-28 05:16:35

700

Views

Writing trace of a linear operator in terms of inner products

Published on 28 Nov 2020 - 5:16

score 455 · Answer 5 · 2020-11-29 16:10:38

455

Views

$ 2^{\sqrt n} \leq |\operatorname{ tr}( A^n)| \leq 2020\cdot2^{\sqrt n} $

Published on 29 Nov 2020 - 16:10

score 1k · Answer 6 · 2020-11-30 00:35:31

1k

Views

Does conjugation preserve trace?

Published on 30 Nov 2020 - 0:35

score 40 · Answer 7 · 2020-12-01 23:07:54

40

Views

$u^3 + u^2-id=0\text{ and } tr(u) \in \mathbb{Q}$ show that the dimension of the vector space is a multiple of 3

Published on 01 Dec 2020 - 23:07

score 779 · Answer 8 · 2026-03-26 03:18:41

779

Views

Maximising the variance in PCA - Trace Proof

Published on 26 Mar 2026 - 3:18

score 77 · Answer 9 · 2020-12-04 18:15:03

77

Views

Maximising $Tr(PAPB)$ for orthogonal projection matrix $P$ and symmetric $A,B$.

Published on 04 Dec 2020 - 18:15

score 42 · Answer 10 · 2026-04-01 02:54:07

42

Views

Proving $||A||_1 = \max_{W:\mathcal{H}_2 \rightarrow \mathcal{H}_1}(Tr[WA])$

Published on 01 Apr 2026 - 2:54

score 268 · Answer 11 · 2026-02-22 23:11:39

268

Views

Number of solutions of system of linear equations over finite field

Published on 22 Feb 2026 - 23:11

score 358 · Answer 12 · 2020-12-06 11:24:20

358

Views

Calculating the number of 33 Matrices whose trace of $A^t$$A$=6

Published on 06 Dec 2020 - 11:24

score 6.4k · Answer 13 · 2020-12-06 15:21:58

6.4k

Views

Finding eigenvalues of a 3x3 matrix given determinant and trace

Published on 06 Dec 2020 - 15:21

score 51 · Answer 14 · 2020-12-07 17:08:38

51

Views

Is the partial trace identity $\mathrm{Tr}_2 [(A\otimes B)C]=A\cdot\mathrm{Tr}_2[(\mathbb{I}_1\otimes B)C]$ true?

Published on 07 Dec 2020 - 17:08

score 160 · Answer 15 · 2020-12-07 18:17:03

160

Views

What is the minimum of trace of matrix inverse?

Published on 07 Dec 2020 - 18:17

List Question

If $\langle A,B \rangle=0$ for two symmetric matrices, what about $\langle A,B^{-1}\rangle $?

How to prove this inequality on trace of inverse of a positive definite matrix?

How can I show that: $\text{Tr}(A^A)=\sum_{\lambda\in\sigma(A^A)}\lambda$?

Writing trace of a linear operator in terms of inner products

$ 2^{\sqrt n} \leq |\operatorname{ tr}( A^n)| \leq 2020\cdot2^{\sqrt n} $

Does conjugation preserve trace?

$u^3 + u^2-id=0\text{ and } tr(u) \in \mathbb{Q}$ show that the dimension of the vector space is a multiple of 3

Maximising the variance in PCA - Trace Proof

Maximising $Tr(PAPB)$ for orthogonal projection matrix $P$ and symmetric $A,B$.

Proving $||A||_1 = \max_{W:\mathcal{H}_2 \rightarrow \mathcal{H}_1}(Tr[WA])$

Number of solutions of system of linear equations over finite field

Calculating the number of 33 Matrices whose trace of $A^t$$A$=6

Finding eigenvalues of a 3x3 matrix given determinant and trace

Is the partial trace identity $\mathrm{Tr}_2 [(A\otimes B)C]=A\cdot\mathrm{Tr}_2[(\mathbb{I}_1\otimes B)C]$ true?

What is the minimum of trace of matrix inverse?

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