Question

If the subspace $W$ is $T$-invariant, then $W^\perp$ is $T^*$-invariant.

score 627 · Answer 1 · 2022-02-01 23:40:02

627

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If the subspace $W$ is $T$-invariant, then $W^\perp$ is $T^*$-invariant.

Published on 01 Feb 2022 - 23:40

score 50 · Answer 2 · 2022-02-15 14:04:37

50

Views

Proving that the smallest dimension for $V$ is 4.

Published on 15 Feb 2022 - 14:04

score 269 · Answer 3 · 2022-02-20 18:48:07

269

Views

Unitary transformation with T invariant subspace

Published on 20 Feb 2022 - 18:48

score 37 · Answer 4 · 2022-03-14 20:04:26

37

Views

Is $ k_1a + k_2b + k_3c = 0$ for arbitrary but fixed numbers $ k_1, k_2, k_3 \in \mathbb{R} $ a subspace in $\mathbb{R^3}$?

Published on 14 Mar 2022 - 20:04

score 117 · Answer 5 · 2026-02-23 09:49:25

117

Views

An application of Zorn's Lemma in linear algebra

Published on 23 Feb 2026 - 9:49

score 152 · Answer 6 · 2022-03-16 06:52:15

152

Views

A problem about cyclic subspaces and minimal polynomial

Published on 16 Mar 2022 - 6:52

score 487 · Answer 7 · 2022-03-29 05:17:54

487

Views

How to find invariant subspace?

Published on 29 Mar 2022 - 5:17

score 66 · Answer 8 · 2022-04-04 15:51:56

66

Views

How to write a subset of $\mathbb{C}^4$ as a subset of $\mathbb{C}^3$

Published on 04 Apr 2022 - 15:51

score 44 · Answer 9 · 2022-04-14 10:05:59

44

Views

Invariant subspaces concept - linear algebra

Published on 14 Apr 2022 - 10:05

score 31 · Answer 10 · 2022-04-18 01:38:59

31

Views

Determining whether a set of vectors is a subspace (given an equation with matrices?)

Published on 18 Apr 2022 - 1:38

score 343 · Answer 11 · 2022-05-03 04:04:42

343

Views

Exercise 5.A.10(b) Find all invariant subspaces of $T$ ("Linear Algebra Done Right 3rd Edition" by Sheldon Axler)

Published on 03 May 2022 - 4:04

score 60 · Answer 12 · 2022-05-06 00:48:06

60

Views

Is the assumption that $V$ is finite-dimensional really necessary in Exercise 5.A.28? (Sheldon Axler "Linear Algebra Done Right 3rd Edition")

Published on 06 May 2022 - 0:48

score 74 · Answer 13 · 2022-05-09 10:35:40

74

Views

Finding a invariant subspaces for a specific matrix, but this time: over C

Published on 09 May 2022 - 10:35

score 488 · Answer 14 · 2022-05-11 19:29:50

488

Views

How to find all the invariant subspaces in relation to Matrix

Published on 11 May 2022 - 19:29

score 55 · Answer 15 · 2022-05-12 22:11:31

55

Views

Need help for understanding a sum of subspaces

Published on 12 May 2022 - 22:11

List Question

If the subspace $W$ is $T$-invariant, then $W^\perp$ is $T^*$-invariant.

Proving that the smallest dimension for $V$ is 4.

Unitary transformation with T invariant subspace

Is $ k_1a + k_2b + k_3c = 0$ for arbitrary but fixed numbers $ k_1, k_2, k_3 \in \mathbb{R} $ a subspace in $\mathbb{R^3}$?

An application of Zorn's Lemma in linear algebra

A problem about cyclic subspaces and minimal polynomial

How to find invariant subspace?

How to write a subset of $\mathbb{C}^4$ as a subset of $\mathbb{C}^3$

Invariant subspaces concept - linear algebra

Determining whether a set of vectors is a subspace (given an equation with matrices?)

Exercise 5.A.10(b) Find all invariant subspaces of $T$ ("Linear Algebra Done Right 3rd Edition" by Sheldon Axler)

Is the assumption that $V$ is finite-dimensional really necessary in Exercise 5.A.28? (Sheldon Axler "Linear Algebra Done Right 3rd Edition")

Finding a invariant subspaces for a specific matrix, but this time: over C

How to find all the invariant subspaces in relation to Matrix

Need help for understanding a sum of subspaces

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