List questions from invariant-subspace

Published on 17 May 2022 - 18:30

135

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Finding $2$-dimensional invariant subspace

Published on 17 May 2022 - 23:31

96

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I cannot prove that $T$ is diagonalizable $\Rightarrow$ $T|_{V_1},T|_{V_2},\dots,T|_{V_r}$ are diagonalizable.

Published on 21 May 2022 - 1:17

222

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existence of non-zero proper T-invariant subspace

Published on 21 May 2022 - 17:29

62

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2-dimensional invariant subspace using Jordan matrix

Published on 28 May 2022 - 2:43

69

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Eigenvalues of invariant subspaces

Published on 02 Jun 2022 - 21:32

226

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Let $V$ be a vector space over $\Bbb R$ of dimension $n$, and $T \colon V \to V$ be a linear trasformation. Choose the correct answer.

Published on 06 Jul 2022 - 18:01

70

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Block diagonalization with similiarity transform using invariant subspaces

Published on 23 Jul 2022 - 14:40

139

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Admissible subspace is invariant?

Published on 16 Aug 2022 - 15:12

255

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Exercise $6$, Section $5.A$ - Linear Algebra Done Right

Published on 22 Aug 2022 - 3:52

56

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About running variance in Batch Normalization layer

Published on 26 Aug 2022 - 5:47

27

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Can $\lambda_i$'s root subspace be divided into several eigenspaces direct sum?

Published on 01 Nov 2022 - 14:27

82

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Let $f\in L^2(\Bbb{T}),\ f\ne0$ and $M=\overline{f\wp_+}$. Prove that, $M$ is simply invariant for $\chi_1$ iff $f\notin \chi_N M$ for some $N>0$

Published on 26 Mar 2026 - 6:07

64

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Two dimensional invariant subspace

Published on 23 Nov 2022 - 4:57

40

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Finding invariant factors of a matrix given a polynomial which annihilates the matrix

Published on 11 Dec 2022 - 9:44

List Question

What do you call the converse of an invariant subspace of an operator?

Finding $2$-dimensional invariant subspace

I cannot prove that $T$ is diagonalizable $\Rightarrow$ $T|_{V_1},T|_{V_2},\dots,T|_{V_r}$ are diagonalizable.

existence of non-zero proper T-invariant subspace

2-dimensional invariant subspace using Jordan matrix

Eigenvalues of invariant subspaces

Let $V$ be a vector space over $\Bbb R$ of dimension $n$, and $T \colon V \to V$ be a linear trasformation. Choose the correct answer.

Block diagonalization with similiarity transform using invariant subspaces

Admissible subspace is invariant?

Exercise $6$, Section $5.A$ - Linear Algebra Done Right

About running variance in Batch Normalization layer

Can $\lambda_i$'s root subspace be divided into several eigenspaces direct sum?

Let $f\in L^2(\Bbb{T}),\ f\ne0$ and $M=\overline{f\wp_+}$. Prove that, $M$ is simply invariant for $\chi_1$ iff $f\notin \chi_N M$ for some $N>0$

Two dimensional invariant subspace

Finding invariant factors of a matrix given a polynomial which annihilates the matrix

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