List questions from trace

Published on 20 Nov 2018 - 9:23

211

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How can maximizing $x^T A x$ where $A$ is positive semi-definite be reduced to maximizing $trace(x^T A x)$?

Published on 23 Nov 2018 - 13:06

240

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Proof of log identity for positive definite matrices

Published on 25 Nov 2018 - 22:35

13.7k

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Trace of symmetric matrix equals sum eigenvalues

Published on 26 Mar 2026 - 17:19

371

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A trace map for $\operatorname{End}_{\mathcal{O}_X}(\mathcal F)$ of a locally free sheaf of finite rank

Published on 26 Mar 2026 - 9:41

103

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$\det(A^2+A-I_2)+\det(A^2+I_2) = 5$

Published on 03 Dec 2018 - 22:36

33

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tracial state of a orthogonal projection

Published on 26 Mar 2026 - 13:51

1.3k

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Derivative of a Function of the Diag function

Published on 07 Dec 2018 - 9:45

57

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Equality of tracial states on dense $C^*$-subalgebra implies equality on generated von Neumann algebra?

Published on 26 Mar 2026 - 10:07

174

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Prove that $r(A)=\operatorname{tr}(A^2)$

Published on 26 Mar 2026 - 4:32

65

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Proving an inner product

Published on 17 Dec 2018 - 1:03

761

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Given this 4x4 matrix, is there an easier way to calculate the eigenvalues?

Published on 26 Mar 2026 - 7:42

539

Views

If $A$ is an $n$ by $n$ integer matrix such that $A^3 = I$, then $\operatorname{tr}(A) = n\mod3$

Published on 17 Dec 2018 - 21:22

639

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Prove that $tr(A)^p = tr(A^p)\bmod p$ where $A$ is a square integer matrix and $p$ is a prime number.

Published on 18 Dec 2018 - 2:29

69

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derivative of an integral with respect to matrix element

Published on 18 Dec 2018 - 21:23

List Question

Proof for Cauchy-Schwarz inequality for Trace

How can maximizing $x^T A x$ where $A$ is positive semi-definite be reduced to maximizing $trace(x^T A x)$?

Proof of log identity for positive definite matrices

Trace of symmetric matrix equals sum eigenvalues

A trace map for $\operatorname{End}_{\mathcal{O}_X}(\mathcal F)$ of a locally free sheaf of finite rank

$\det(A^2+A-I_2)+\det(A^2+I_2) = 5$

tracial state of a orthogonal projection

Derivative of a Function of the Diag function

Equality of tracial states on dense $C^*$-subalgebra implies equality on generated von Neumann algebra?

Prove that $r(A)=\operatorname{tr}(A^2)$

Proving an inner product

Given this 4x4 matrix, is there an easier way to calculate the eigenvalues?

If $A$ is an $n$ by $n$ integer matrix such that $A^3 = I$, then $\operatorname{tr}(A) = n\mod3$

Prove that $tr(A)^p = tr(A^p)\bmod p$ where $A$ is a square integer matrix and $p$ is a prime number.

derivative of an integral with respect to matrix element

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