Question

P + Q = P + R where P, Q and R are subspaces. Should Q = R?

score 72 · Answer 1 · 2020-12-12 10:05:40

72

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P + Q = P + R where P, Q and R are subspaces. Should Q = R?

Published on 12 Dec 2020 - 10:05

score 103 · Answer 2 · 2026-03-26 18:57:12

103

Views

Invariant logarithm of a unitary matrix

Published on 26 Mar 2026 - 18:57

score 134 · Answer 3 · 2020-12-23 02:31:19

134

Views

Invariant subspace problem for fixed points?

Published on 23 Dec 2020 - 2:31

score 1.5k · Answer 4 · 2020-12-25 04:04:16

1.5k

Views

Let $X$ and $Y$ be subspaces of a vector space $V$. Show that $X\cup Y$ is a subspace if and only if $X\subset Y$ or $Y \subset X$

Published on 25 Dec 2020 - 4:04

score 407 · Answer 5 · 2026-03-25 22:05:00

407

Views

irreducible representation of $GL(V,\mathbb{C}) $ on the symmetric subspace of $V\otimes V $

Published on 25 Mar 2026 - 22:05

score 56 · Answer 6 · 2021-01-23 08:23:50

56

Views

Given $f \in V^$ and $\mathscr A : V \to V$ a linear map, show that $f,f \circ \mathscr A,\dots,f \circ \mathscr A^{n-1}$ is a basis for $V^$

Published on 23 Jan 2021 - 8:23

score 317 · Answer 7 · 2021-01-25 05:53:49

317

Views

Is orthogonal subspace to Eigen subspace another eigensubspace?

Published on 25 Jan 2021 - 5:53

score 294 · Answer 8 · 2021-01-25 23:52:53

294

Views

Question about Image and Null space of a linear operator and invariant subspace.

Published on 25 Jan 2021 - 23:52

score 101 · Answer 9 · 2021-01-26 07:53:48

101

Views

Invariant subspace for a given operator

Published on 26 Jan 2021 - 7:53

score 1.1k · Answer 10 · 2021-02-07 06:30:30

1.1k

Views

Subspace of Vectors orthogonal to every vectors in a given Vector space

Published on 07 Feb 2021 - 6:30

score 106 · Answer 11 · 2021-02-09 16:04:03

106

Views

Proving a subset is a vector subspace using Subspace criterion

Published on 09 Feb 2021 - 16:04

score 72 · Answer 12 · 2021-02-11 12:34:56

72

Views

Prove that the set of continuous real-valued functions on the interval $[0,1]$ is a subspace of $\mathbb{R}^{[0,1]}$ and so is closed under addition

Published on 11 Feb 2021 - 12:34

score 48 · Answer 13 · 2021-02-21 20:19:13

48

Views

Positively invariant subspace

Published on 21 Feb 2021 - 20:19

score 57 · Answer 14 · 2026-03-25 20:36:38

57

Views

Similarity of vectors projected onto eigenspace of similar matrices

Published on 25 Mar 2026 - 20:36

score 263 · Answer 15 · 2021-03-02 16:53:46

263

Views

Invariant subspace under rotation

Published on 02 Mar 2021 - 16:53

List Question

P + Q = P + R where P, Q and R are subspaces. Should Q = R?

Invariant logarithm of a unitary matrix

Invariant subspace problem for fixed points?

Let $X$ and $Y$ be subspaces of a vector space $V$. Show that $X\cup Y$ is a subspace if and only if $X\subset Y$ or $Y \subset X$

irreducible representation of $GL(V,\mathbb{C}) $ on the symmetric subspace of $V\otimes V $

Given $f \in V^$ and $\mathscr A : V \to V$ a linear map, show that $f,f \circ \mathscr A,\dots,f \circ \mathscr A^{n-1}$ is a basis for $V^$

Is orthogonal subspace to Eigen subspace another eigensubspace?

Question about Image and Null space of a linear operator and invariant subspace.

Invariant subspace for a given operator

Subspace of Vectors orthogonal to every vectors in a given Vector space

Proving a subset is a vector subspace using Subspace criterion

Prove that the set of continuous real-valued functions on the interval $[0,1]$ is a subspace of $\mathbb{R}^{[0,1]}$ and so is closed under addition

Positively invariant subspace

Similarity of vectors projected onto eigenspace of similar matrices

Invariant subspace under rotation

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