Question

Trace of product of squared matrix and positive definite matrix is nonnegative (short exercise)

score 52 · Answer 1 · 2026-03-26 07:39:08

52

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Trace of product of squared matrix and positive definite matrix is nonnegative (short exercise)

Published on 26 Mar 2026 - 7:39

score 158 · Answer 2 · 2019-04-04 01:31:45

158

Views

An inequality on trace of sum of matrices

Published on 04 Apr 2019 - 1:31

score 2.1k · Answer 3 · 2019-04-05 10:02:57

2.1k

Views

Prove $\mathrm{tr}(A^2) \leq\mathrm{tr}(A^TA)$

Published on 05 Apr 2019 - 10:02

score 373 · Answer 4 · 2019-04-06 03:56:48

373

Views

What is the Largest Dimension of the Set of Matrices with $\text{trace} AB = 0$

Published on 06 Apr 2019 - 3:56

score 277 · Answer 5 · 2019-04-07 16:59:26

277

Views

Confused about matrix tracing

Published on 07 Apr 2019 - 16:59

score 475 · Answer 6 · 2019-04-10 05:39:09

475

Views

Product rule for trace of matrix functions

Published on 10 Apr 2019 - 5:39

score 150 · Answer 7 · 2019-04-10 08:38:27

150

Views

Expressing a subtraction from a Hermitian outer products' main diagonal in terms of the original vectors

Published on 10 Apr 2019 - 8:38

score 228 · Answer 8 · 2026-03-25 09:38:36

228

Views

Trace and Det of Laplacian on the rectangle

Published on 25 Mar 2026 - 9:38

score 22 · Answer 9 · 2019-04-13 12:34:29

22

Views

$U_{p,q}$ is bounded

Published on 13 Apr 2019 - 12:34

score 79 · Answer 10 · 2019-04-15 12:25:16

79

Views

If sum of traces of matrices at k-th power is 0, eigenvalues=0?

Published on 15 Apr 2019 - 12:25

score 279 · Answer 11 · 2019-04-17 05:55:45

279

Views

relation between trace and hat operator (skew-symmetric matrices)

Published on 17 Apr 2019 - 5:55

score 301 · Answer 12 · 2026-03-25 03:19:46

301

Views

compute $H^{3/2}(\partial\Omega)$-norm for smooth $u$ and $\Omega$

Published on 25 Mar 2026 - 3:19

score 155 · Answer 13 · 2019-04-19 09:43:49

155

Views

Rewrite $(\det A)^{1/n}=\min\left\{\frac{\mathrm{tr}(AC)}{n}:C \in \Bbb{C}^{n×n},C>0,\det C=1\right\}$ in terms of $\frac{\rm{tr}(CAC)}{n}$

Published on 19 Apr 2019 - 9:43

score 121 · Answer 14 · 2026-03-26 07:35:22

121

Views

Is the trace of the matrix obtained by subtracting two positive definite matrices smaller than the trace of the matrix being subtracted?

Published on 26 Mar 2026 - 7:35

score 316 · Answer 15 · 2026-03-26 01:34:51

316

Views

How to show $\text{rank}(p)=\text{trace}(p)$ for every projector $p$ defined on $\mathbb{R}^n$?

Published on 26 Mar 2026 - 1:34

List Question

Trace of product of squared matrix and positive definite matrix is nonnegative (short exercise)

An inequality on trace of sum of matrices

Prove $\mathrm{tr}(A^2) \leq\mathrm{tr}(A^TA)$

What is the Largest Dimension of the Set of Matrices with $\text{trace} AB = 0$

Confused about matrix tracing

Product rule for trace of matrix functions

Expressing a subtraction from a Hermitian outer products' main diagonal in terms of the original vectors

Trace and Det of Laplacian on the rectangle

$U_{p,q}$ is bounded

If sum of traces of matrices at k-th power is 0, eigenvalues=0?

relation between trace and hat operator (skew-symmetric matrices)

compute $H^{3/2}(\partial\Omega)$-norm for smooth $u$ and $\Omega$

Rewrite $(\det A)^{1/n}=\min\left\{\frac{\mathrm{tr}(AC)}{n}:C \in \Bbb{C}^{n×n},C>0,\det C=1\right\}$ in terms of $\frac{\rm{tr}(CAC)}{n}$

Is the trace of the matrix obtained by subtracting two positive definite matrices smaller than the trace of the matrix being subtracted?

How to show $\text{rank}(p)=\text{trace}(p)$ for every projector $p$ defined on $\mathbb{R}^n$?

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