Question

How to verify the uniqueness of a standard matrix?

score 3.2k · Answer 1 · 2026-03-26 14:20:54

3.2k

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How to verify the uniqueness of a standard matrix?

Published on 26 Mar 2026 - 14:20

score 97 · Answer 2 · 2026-03-23 02:25:18

97

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Interpretation of transpose of a linear application from a matricial product point of view

Published on 23 Mar 2026 - 2:25

score 38 · Answer 3 · 2026-03-25 19:04:08

38

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Does $F(w(x))\leqslant C_wF(x)$ for a certain constant $C_w$?

Published on 25 Mar 2026 - 19:04

score 40 · Answer 4 · 2026-03-26 01:16:37

40

Views

Does $F(w(x))\leqslant C_wF(x)$ for a certain constant $C_w$ with $F$ being a distance function?

Published on 26 Mar 2026 - 1:16

score 350 · Answer 5 · 2026-03-26 02:57:01

350

Views

Rank of Matrix equal over Q and R?

Published on 26 Mar 2026 - 2:57

score 98 · Answer 6 · 2026-03-26 16:06:29

98

Views

$\forall v\in V(v\neq 0 \implies \exists \lambda\in \mathbf{F}(Tv = \lambda v))\implies \exists k\in\mathbf{F}\forall v\in V(Tv = kv)$

Published on 26 Mar 2026 - 16:06

score 218 · Answer 7 · 2026-03-25 06:39:35

218

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Prove that a regular $\phi : E \to E$ can be uniquely decomposed as a composition of self-adjoint map and a rotation(Unitary trick of Weyl)

Published on 25 Mar 2026 - 6:39

score 287 · Answer 8 · 2026-03-20 08:26:11

287

Views

Isometry and Orthogonal Decomposition

Published on 20 Mar 2026 - 8:26

score 185 · Answer 9 · 2026-03-26 03:33:36

Does $\text{null } T^m = \text{null }T^{m+1}$ if and only if $\text{range } T^m = \text{range }T^{m+1}$ hold in infinite dimensional vector spaces?

score 68 · Answer 10 · 2026-03-26 11:28:00

68

Views

Linear Algebra Boldrini : Theorem 5.4.5

Published on 26 Mar 2026 - 11:28

score 47 · Answer 11 · 2026-03-25 12:46:14

47

Views

Find a set of vector B

Published on 25 Mar 2026 - 12:46

score 93 · Answer 12 · 2026-03-26 02:49:05

93

Views

If $\operatorname{Im} A = \operatorname{Im }A^T$, is it necessary that $A = A^T$?

Published on 26 Mar 2026 - 2:49

score 1k · Answer 13 · 2026-03-26 16:06:29

1k

Views

Number of Possible Distinct eigenvalues of $T$ when $\dim\operatorname{range}T = k$.

Published on 26 Mar 2026 - 16:06

score 208 · Answer 14 · 2026-03-26 09:11:28

208

Views

$\sqrt{\det(A^TA)}$ for transformations into lower dimensions

Published on 26 Mar 2026 - 9:11

score 234 · Answer 15 · 2026-03-25 21:24:36

234

Views

Find a non-diagonalizable $3\times 3$ complex matrix $A$ with strictly real eigenvalues, $\det A=2$ and $\text{Tr}\,A=1$.

Published on 25 Mar 2026 - 21:24

List Question

How to verify the uniqueness of a standard matrix?

Interpretation of transpose of a linear application from a matricial product point of view

Does $F(w(x))\leqslant C_wF(x)$ for a certain constant $C_w$?

Does $F(w(x))\leqslant C_wF(x)$ for a certain constant $C_w$ with $F$ being a distance function?

Rank of Matrix equal over Q and R?

$\forall v\in V(v\neq 0 \implies \exists \lambda\in \mathbf{F}(Tv = \lambda v))\implies \exists k\in\mathbf{F}\forall v\in V(Tv = kv)$

Prove that a regular $\phi : E \to E$ can be uniquely decomposed as a composition of self-adjoint map and a rotation(Unitary trick of Weyl)

Isometry and Orthogonal Decomposition

Does $\text{null } T^m = \text{null }T^{m+1}$ if and only if $\text{range } T^m = \text{range }T^{m+1}$ hold in infinite dimensional vector spaces?

Linear Algebra Boldrini : Theorem 5.4.5

Find a set of vector B

If $\operatorname{Im} A = \operatorname{Im }A^T$, is it necessary that $A = A^T$?

Number of Possible Distinct eigenvalues of $T$ when $\dim\operatorname{range}T = k$.

$\sqrt{\det(A^TA)}$ for transformations into lower dimensions

Find a non-diagonalizable $3\times 3$ complex matrix $A$ with strictly real eigenvalues, $\det A=2$ and $\text{Tr}\,A=1$.

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