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Simple doubt on a linear algebra proof involving inequalities

score 52 · Answer 1 · 2026-03-24 23:44:49

52

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Simple doubt on a linear algebra proof involving inequalities

Published on 24 Mar 2026 - 23:44

score 157 · Answer 2 · 2026-03-23 04:39:08

157

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How can I find the subspace basis most "aligned" to the ambient space axes?

Published on 23 Mar 2026 - 4:39

score 249 · Answer 3 · 2026-03-27 00:04:29

249

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$\exists\alpha\in\mathbf{F}(|\alpha-\lambda|<\frac{1}{1000}\ \text{and}\ T-\alpha I \ \text{is}\ \text{invertible})$

Published on 27 Mar 2026 - 0:04

score 91 · Answer 4 · 2026-03-27 00:02:07

91

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Prove that $|\phi|^2 = \lambda$, where $\lambda$ is the largest eigenvalue of the selfadjoint mapping $\bar \phi \circ \phi$.

Published on 27 Mar 2026 - 0:02

score 125 · Answer 5 · 2018-02-19 16:52:47

125

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Puzzled for a (supposed) way to show that $\det(e^A)=e^{{\rm tr}(A)}$

Published on 19 Feb 2018 - 16:52

score 412 · Answer 6 · 2026-03-29 00:06:38

412

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Prove that $||a|-|b|| \leq |a-b|$?

Published on 29 Mar 2026 - 0:06

score 295 · Answer 7 · 2026-03-27 11:47:47

295

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Solving system of linear equations with unknowns in both the left and right hand side.

Published on 27 Mar 2026 - 11:47

score 108 · Answer 8 · 2018-02-19 17:50:43

108

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Prove if $\mu(x)$,$\mu_1(x)$,$\mu_2(x)$ are minimal polynomial of $T$,$T|_{V_1}$,$T|_{V_2}$ then...

Published on 19 Feb 2018 - 17:50

score 2.4k · Answer 9 · 2026-03-24 23:46:27

2.4k

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Understanding why linear independent columns relate to positive definite matrix and invertibility

Published on 24 Mar 2026 - 23:46

score 27 · Answer 10 · 2026-03-27 00:01:55

27

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Prove $T(Aut(\lambda))\subset Aut(\lambda)$ where $A\in Mat_n(\mathbb{K})$ and $\lambda$ eigenvalue of $A$

Published on 27 Mar 2026 - 0:01

score 123 · Answer 11 · 2026-03-25 02:59:43

123

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Algebra Ages Question GCSE

Published on 25 Mar 2026 - 2:59

score 1k · Answer 12 · 2026-03-25 04:44:16

1k

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Let $H$ be the Heisenberg group. Determine the center $Z(H)$ of $H$. Show that the quotient group $H/Z(H)$ is abelian.

Published on 25 Mar 2026 - 4:44

score 50 · Answer 13 · 2018-02-19 19:14:20

50

Views

Help with a Linear Algebra exercise

Published on 19 Feb 2018 - 19:14

score 473 · Answer 14 · 2018-02-19 19:24:48

473

Views

Nullity and Rank of a Linear Transformation

Published on 19 Feb 2018 - 19:24

score 208 · Answer 15 · 2026-03-25 01:18:43

208

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Can diagonally dominant matrix be written as the sum of diagonally dominant matrices?

Published on 25 Mar 2026 - 1:18

List Question

Simple doubt on a linear algebra proof involving inequalities

How can I find the subspace basis most "aligned" to the ambient space axes?

$\exists\alpha\in\mathbf{F}(|\alpha-\lambda|<\frac{1}{1000}\ \text{and}\ T-\alpha I \ \text{is}\ \text{invertible})$

Prove that $|\phi|^2 = \lambda$, where $\lambda$ is the largest eigenvalue of the selfadjoint mapping $\bar \phi \circ \phi$.

Puzzled for a (supposed) way to show that $\det(e^A)=e^{{\rm tr}(A)}$

Prove that $||a|-|b|| \leq |a-b|$?

Solving system of linear equations with unknowns in both the left and right hand side.

Prove if $\mu(x)$,$\mu_1(x)$,$\mu_2(x)$ are minimal polynomial of $T$,$T|_{V_1}$,$T|_{V_2}$ then...

Understanding why linear independent columns relate to positive definite matrix and invertibility

Prove $T(Aut(\lambda))\subset Aut(\lambda)$ where $A\in Mat_n(\mathbb{K})$ and $\lambda$ eigenvalue of $A$

Algebra Ages Question GCSE

Let $H$ be the Heisenberg group. Determine the center $Z(H)$ of $H$. Show that the quotient group $H/Z(H)$ is abelian.

Help with a Linear Algebra exercise

Nullity and Rank of a Linear Transformation

Can diagonally dominant matrix be written as the sum of diagonally dominant matrices?

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