Question

Upper bound for determinant of square matrix

score 444 · Answer 1 · 2020-08-24 17:42:17

444

Views

Upper bound for determinant of square matrix

Published on 24 Aug 2020 - 17:42

score 1k · Answer 2 · 2020-08-27 12:32:50

1k

Views

Show that $\det(A) = 0$ or $\mathrm{tr}(A)=0$

Published on 27 Aug 2020 - 12:32

score 460 · Answer 3 · 2026-03-31 20:03:12

460

Views

Trace calculation in singular value decomposition

Published on 31 Mar 2026 - 20:03

score 183 · Answer 4 · 2026-02-23 13:46:00

183

Views

Can we obtain min $\mathbf{x}$ in $\Vert A - B(I\otimes \mathbf{x})\Vert_F^2$ algebraically?

Published on 23 Feb 2026 - 13:46

score 61 · Answer 5 · 2020-09-01 12:20:54

61

Views

How can I demonstrate this result?

Published on 01 Sep 2020 - 12:20

score 156 · Answer 6 · 2026-03-25 19:05:04

156

Views

Trace of involution is the dimension of the space implies it is the identity.

Published on 25 Mar 2026 - 19:05

score 53 · Answer 7 · 2026-03-29 13:24:21

53

Views

For positive semi-definite symmetric complex matrices $A$, $B$, $B$ being full rank, for $\operatorname{tr}(A^H B)$ to be $0$, $A=0$ has to be true?

Published on 29 Mar 2026 - 13:24

score 148 · Answer 8 · 2020-09-04 14:58:28

148

Views

Which (non-trace class) operators have a well-defined trace (if any)?

Published on 04 Sep 2020 - 14:58

score 29 · Answer 9 · 2026-03-29 14:59:24

29

Views

For positive semi-definite complex matrices A, B, B symmetric of rank 1,find a condition for $\operatorname{tr}(A^{\ast}B)$ to be $0$?

Published on 29 Mar 2026 - 14:59

score 46 · Answer 10 · 2026-04-01 02:55:03

46

Views

Integral of square root of quadric form, over a sphere

Published on 01 Apr 2026 - 2:55

score 572 · Answer 11 · 2020-09-12 00:32:33

572

Views

Prove that trace equals sum of eigenvalues using spectral decomposition

Published on 12 Sep 2020 - 0:32

score 2.3k · Answer 12 · 2020-09-13 14:08:19

2.3k

Views

Can we prove that $\operatorname{Tr}(ABC) = \operatorname{Tr}(CBA)$?

Published on 13 Sep 2020 - 14:08

score 445 · Answer 13 · 2020-09-15 23:32:15

445

Views

How can I prove that $Tr(A^TA) = \sum_{i=1}^n\sum_{j=1}^m a_{ij}^2$ using sigma sum notation?

Published on 15 Sep 2020 - 23:32

score 217 · Answer 14 · 2020-09-23 02:29:19

217

Views

Prove that the quadratic form $x^\top A x$ is equal to tr($B^Txx^TB$) when $A=BB^T$

Published on 23 Sep 2020 - 2:29

score 144 · Answer 15 · 2020-09-23 07:32:27

144

Views

Why is the trace of $A$ equal to the determinant?

Published on 23 Sep 2020 - 7:32

List Question

Upper bound for determinant of square matrix

Show that $\det(A) = 0$ or $\mathrm{tr}(A)=0$

Trace calculation in singular value decomposition

Can we obtain min $\mathbf{x}$ in $\Vert A - B(I\otimes \mathbf{x})\Vert_F^2$ algebraically?

How can I demonstrate this result?

Trace of involution is the dimension of the space implies it is the identity.

For positive semi-definite symmetric complex matrices $A$, $B$, $B$ being full rank, for $\operatorname{tr}(A^H B)$ to be $0$, $A=0$ has to be true?

Which (non-trace class) operators have a well-defined trace (if any)?

For positive semi-definite complex matrices A, B, B symmetric of rank 1,find a condition for $\operatorname{tr}(A^{\ast}B)$ to be $0$?

Integral of square root of quadric form, over a sphere

Prove that trace equals sum of eigenvalues using spectral decomposition

Can we prove that $\operatorname{Tr}(ABC) = \operatorname{Tr}(CBA)$?

How can I prove that $Tr(A^TA) = \sum_{i=1}^n\sum_{j=1}^m a_{ij}^2$ using sigma sum notation?

Prove that the quadratic form $x^\top A x$ is equal to tr($B^Txx^TB$) when $A=BB^T$

Why is the trace of $A$ equal to the determinant?

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