Question

Let S = {(0,1,k) , (k,1,0), (1,k,1)} Then, S is a basis for $\mathbb R^3$ for what value of k?

score 533 · Answer 1 · 2026-04-13 17:38:37

533

Views

Let S = {(0,1,k) , (k,1,0), (1,k,1)} Then, S is a basis for $\mathbb R^3$ for what value of k?

Published on 13 Apr 2026 - 17:38

score 144 · Answer 2 · 2026-04-15 13:08:12

144

Views

What is $\ \overline{\bigcup_{p≥ 1}\ \{A\in M_n(\mathbb C), \ A^p = I_n\}} \ $?

Published on 15 Apr 2026 - 13:08

score 1.5k · Answer 3 · 2026-04-09 22:24:24

1.5k

Views

Matrix with all eigenvalues equal to $0$ is nilpotent.

Published on 09 Apr 2026 - 22:24

score 335 · Answer 4 · 2026-04-16 05:41:11

335

Views

Inverse projective transformation: given $\varphi_A:\mathbb{P^3}\to \mathbb{P^3}$ and a line $r$, find $\varphi_A^{-1}(r)$

Published on 16 Apr 2026 - 5:41

score 281 · Answer 5 · 2026-04-14 18:50:58

281

Views

If $gh=hg$ and $\rho$ is a representation of $G$, then the matrices $\rho(g)$ and $\rho(h)$ are simulatenously diagonalizable

Published on 14 Apr 2026 - 18:50

score 75 · Answer 6 · 2026-04-15 05:01:19

75

Views

What are the semi-norms on $M_n(\mathbb C)$ such that $\| AB\| = \| BA\|$, for all $A$ and $B$?

Published on 15 Apr 2026 - 5:01

score 75 · Answer 7 · 2026-04-10 15:08:32

75

Views

Problem about positive definite Hermitian form

Published on 10 Apr 2026 - 15:08

score 460 · Answer 8 · 2026-04-10 06:48:59

460

Views

Eigenvectors in non-orthogonal coordinate system

Published on 10 Apr 2026 - 6:48

score 52 · Answer 9 · 2026-04-14 06:59:38

52

Views

Coordinates of a meetpoint of two tangent (fun)

Published on 14 Apr 2026 - 6:59

score 823 · Answer 10 · 2026-04-17 15:20:23

823

Views

Given the characteristic polynomial, find the minimal polynomial.

Published on 17 Apr 2026 - 15:20

score 389 · Answer 11 · 2026-04-17 04:51:49

389

Views

the left inverse and right inverse in a ring

Published on 17 Apr 2026 - 4:51

score 605 · Answer 12 · 2026-04-14 09:48:22

605

Views

Linear transformation such that $T(x) = kx$, for all $x \in \mathbf{R^n}$

Published on 14 Apr 2026 - 9:48

score 4.8k · Answer 13 · 2026-04-14 19:46:44

4.8k

Views

Determining the maximum number of linearly independent rows and columns for a given matrix

Published on 14 Apr 2026 - 19:46

score 8.9k · Answer 14 · 2026-03-26 16:57:25

8.9k

Views

$Ax=0$ has trivial solution $\implies$ $Ax=b$ has a unique solution.

Published on 26 Mar 2026 - 16:57

score 25 · Answer 15 · 2026-04-13 04:33:22

25

Views

Help with finding value for a to make a system of equations trivial and non trivial (linear algebra)

Published on 13 Apr 2026 - 4:33

List Question

Let S = {(0,1,k) , (k,1,0), (1,k,1)} Then, S is a basis for $\mathbb R^3$ for what value of k?

What is $\ \overline{\bigcup_{p≥ 1}\ \{A\in M_n(\mathbb C), \ A^p = I_n\}} \ $?

Matrix with all eigenvalues equal to $0$ is nilpotent.

Inverse projective transformation: given $\varphi_A:\mathbb{P^3}\to \mathbb{P^3}$ and a line $r$, find $\varphi_A^{-1}(r)$

If $gh=hg$ and $\rho$ is a representation of $G$, then the matrices $\rho(g)$ and $\rho(h)$ are simulatenously diagonalizable

What are the semi-norms on $M_n(\mathbb C)$ such that $\| AB\| = \| BA\|$, for all $A$ and $B$?

Problem about positive definite Hermitian form

Eigenvectors in non-orthogonal coordinate system

Coordinates of a meetpoint of two tangent (fun)

Given the characteristic polynomial, find the minimal polynomial.

the left inverse and right inverse in a ring

Linear transformation such that $T(x) = kx$, for all $x \in \mathbf{R^n}$

Determining the maximum number of linearly independent rows and columns for a given matrix

$Ax=0$ has trivial solution $\implies$ $Ax=b$ has a unique solution.

Help with finding value for a to make a system of equations trivial and non trivial (linear algebra)

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