List questions from invariant-subspace

Published on 02 Mar 2021 - 18:15

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Is range $(T- \lambda I )$ is invariant under $T$?

Published on 05 Mar 2021 - 8:24

417

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Representation theory - how to show a subrepresentation is irreducible?

Published on 29 Mar 2021 - 10:14

198

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Why W is not a subspace of $\mathbb{R}^2$?

Published on 09 Apr 2021 - 21:47

335

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find all invariant subspaces of $T_A$:$ \mathbb{R^3} \to \mathbb{R^3}$

Published on 24 Apr 2021 - 12:29

91

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Find the invariant subspaces of the linear endomorphism of the coordinate space $F^n$ given by a Jordan block

Published on 24 Apr 2021 - 14:53

242

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Hoffman and Kunze Linear Algebra Section 6.8 Decomposition Theorem

Published on 25 Mar 2026 - 14:21

87

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$ (Ker A)^{\perp} $ is an $ A $-invariant subspace

Published on 07 May 2021 - 9:28

456

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Block matrixes and invariant subspaces

Published on 07 May 2021 - 12:18

879

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U is T-invariant if and only if orthogonal complement of U is T*-Invariant

Published on 13 May 2021 - 16:26

227

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Possible dimensions of $V \cap W$ in $\mathbb{R}^n$

Published on 25 Feb 2026 - 20:31

714

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Prove that $\det(T) = \det(T_{w_{1}})\det(T_{w_{1}})\cdots \det(T_{w_{k}})$ where $W_{i}$ are $T$-invariant subspaces of $V$ - Trouble at last step.

Published on 09 Jun 2021 - 6:42

125

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Invariant subspace proof involving determinant?

Published on 10 Jun 2021 - 22:02

79

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Invariance & Eigenvalue(s) in finite dimensional vector spaces

Published on 12 Jun 2021 - 11:57

225

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Finding a $3 \times 3$ matrix that only has 1 non-trivial invariant subspace of $\mathbb{R}^3$.

Published on 14 Jun 2021 - 1:10

List Question

Submodules and $T$-invariant subspaces.

Is range $(T- \lambda I )$ is invariant under $T$?

Representation theory - how to show a subrepresentation is irreducible?

Why W is not a subspace of $\mathbb{R}^2$?

find all invariant subspaces of $T_A$:$ \mathbb{R^3} \to \mathbb{R^3}$

Find the invariant subspaces of the linear endomorphism of the coordinate space $F^n$ given by a Jordan block

Hoffman and Kunze Linear Algebra Section 6.8 Decomposition Theorem

$ (Ker A)^{\perp} $ is an $ A $-invariant subspace

Block matrixes and invariant subspaces

U is T-invariant if and only if orthogonal complement of U is T*-Invariant

Possible dimensions of $V \cap W$ in $\mathbb{R}^n$

Prove that $\det(T) = \det(T_{w_{1}})\det(T_{w_{1}})\cdots \det(T_{w_{k}})$ where $W_{i}$ are $T$-invariant subspaces of $V$ - Trouble at last step.

Invariant subspace proof involving determinant?

Invariance & Eigenvalue(s) in finite dimensional vector spaces

Finding a $3 \times 3$ matrix that only has 1 non-trivial invariant subspace of $\mathbb{R}^3$.

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