Question

If $A^3 = I_n$ then $\operatorname{tr}(A)\in\Bbb Z$

score 115 · Answer 1 · 2020-06-30 19:45:53

115

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If $A^3 = I_n$ then $\operatorname{tr}(A)\in\Bbb Z$

Published on 30 Jun 2020 - 19:45

score 63 · Answer 2 · 2020-07-03 21:55:55

63

Views

Matrix trace, are those statements right?

Published on 03 Jul 2020 - 21:55

score 41 · Answer 3 · 2026-03-26 11:04:49

41

Views

Bilinear form: find the maximal sub-space in which $q$ is not atrophied

Published on 26 Mar 2026 - 11:04

score 49 · Answer 4 · 2026-03-26 12:38:04

49

Views

find a maximal dimension subspace of a vector space in which quadratic form is nondegenerate

Published on 26 Mar 2026 - 12:38

score 419 · Answer 5 · 2026-03-25 06:02:20

419

Views

matrix inner product between positive semidefinite matrix and positive definite matrix

Published on 25 Mar 2026 - 6:02

score 80 · Answer 6 · 2026-02-23 04:57:25

80

Views

Equivalence of optimization problems involving trace and Frobenius norm of PSD matrices

Published on 23 Feb 2026 - 4:57

score 49 · Answer 7 · 2020-07-09 17:16:48

49

Views

Trace of generators in the bi-fundamental rep. $SO(N)$ group

Published on 09 Jul 2020 - 17:16

score 288 · Answer 8 · 2020-07-10 20:38:58

288

Views

If $A \in M_n(R)$ be diagonizable with $tr(A^2)=0$ show A is the zero matrix

Published on 10 Jul 2020 - 20:38

score 293 · Answer 9 · 2020-07-10 22:58:22

293

Views

Show $\log(\det(A))\le \operatorname{tr}(A)-n$

Published on 10 Jul 2020 - 22:58

score 324 · Answer 10 · 2020-07-16 04:03:34

324

Views

Can we say that $\text {tr}\ (A) = 0\ $?

Published on 16 Jul 2020 - 4:03

score 313 · Answer 11 · 2020-07-16 09:47:03

313

Views

Does there exist a symmetric matrix $A$ such that $2^{\sqrt{n}}\le |\operatorname{Tr}(A^n)|\le2020 \ \cdot 2^{\sqrt{n}}$ for all $n$

Published on 16 Jul 2020 - 9:47

score 194 · Answer 12 · 2026-03-27 03:41:56

194

Views

For a projection $\Pi$, is $\text{tr}(\Pi X)\leq \text{tr}(X)$?

Published on 27 Mar 2026 - 3:41

score 185 · Answer 13 · 2026-03-28 04:34:22

185

Views

Trace Inequality for difference of positive definite matrices

Published on 28 Mar 2026 - 4:34

score 137 · Answer 14 · 2020-07-27 20:09:20

137

Views

What conditions or properties would matrix $B$ have if $tr(AB) > tr(AC)$?

Published on 27 Jul 2020 - 20:09

score 131 · Answer 15 · 2020-07-29 08:47:09

131

Views

How to calculate the derivative of $f(M) = \operatorname{Trace}(M^pX)$ with respect to $M$?

Published on 29 Jul 2020 - 8:47

List Question

If $A^3 = I_n$ then $\operatorname{tr}(A)\in\Bbb Z$

Matrix trace, are those statements right?

Bilinear form: find the maximal sub-space in which $q$ is not atrophied

find a maximal dimension subspace of a vector space in which quadratic form is nondegenerate

matrix inner product between positive semidefinite matrix and positive definite matrix

Equivalence of optimization problems involving trace and Frobenius norm of PSD matrices

Trace of generators in the bi-fundamental rep. $SO(N)$ group

If $A \in M_n(R)$ be diagonizable with $tr(A^2)=0$ show A is the zero matrix

Show $\log(\det(A))\le \operatorname{tr}(A)-n$

Can we say that $\text {tr}\ (A) = 0\ $?

Does there exist a symmetric matrix $A$ such that $2^{\sqrt{n}}\le |\operatorname{Tr}(A^n)|\le2020 \ \cdot 2^{\sqrt{n}}$ for all $n$

For a projection $\Pi$, is $\text{tr}(\Pi X)\leq \text{tr}(X)$?

Trace Inequality for difference of positive definite matrices

What conditions or properties would matrix $B$ have if $tr(AB) > tr(AC)$?

How to calculate the derivative of $f(M) = \operatorname{Trace}(M^pX)$ with respect to $M$?

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