List questions from invariant-subspace

Published on 12 Apr 2026 - 19:02

54

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Finding a specific $T$-invariant subspace that satisfies 3 criteria

Published on 15 Apr 2026 - 9:21

550

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Vector subspace of $\mathbb{C}$ spanned by $n$ complex numbers over the field of rational numbers.

Published on 04 May 2026 - 10:57

89

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Commutativity of Operator in Polynomial

Published on 08 Apr 2026 - 21:54

265

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If A is diagonalisable then $T\in L(V)$ given by $T(B)=AB-BA$ is diagonalisable

Published on 15 Apr 2026 - 2:17

100

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Another way of arguing existence of eigen value for matrix over Complex Number

Published on 10 Apr 2026 - 15:14

103

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If $T\in L(V)$ is diagonalizable then show that $R(T)\cap N(T)=\{0\}$

Published on 16 Apr 2026 - 8:29

67

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summation properties of three subspaces?

Published on 08 Apr 2026 - 17:42

104

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Generalized Eigenspaces Associated to Different Values

Published on 09 Apr 2026 - 7:27

166

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Are complements of generalized eigenspaces $T$-invariant?

Published on 14 Apr 2026 - 17:57

609

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Nilpotent Transformations and Invariant Subspaces

Published on 11 Apr 2026 - 9:02

321

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Does transformation invariance of the range and null space imply commutativity?

Published on 09 Apr 2026 - 17:06

53

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Let $B={\{x^2, x, 1}\}$ and $S= {\{x^2+x, 2x-1, x+1}\}$ be two basis of $P_2$.

Published on 17 Apr 2026 - 2:04

37

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Irreducibility of differential operator?

Published on 08 Apr 2026 - 21:46

177

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Invariant subspace of two operators T and U when $TU=UT$

Published on 13 Apr 2026 - 11:48

List Question

Finding which sets are subspaces of R3

Finding a specific $T$-invariant subspace that satisfies 3 criteria

Vector subspace of $\mathbb{C}$ spanned by $n$ complex numbers over the field of rational numbers.

Commutativity of Operator in Polynomial

If A is diagonalisable then $T\in L(V)$ given by $T(B)=AB-BA$ is diagonalisable

Another way of arguing existence of eigen value for matrix over Complex Number

If $T\in L(V)$ is diagonalizable then show that $R(T)\cap N(T)=\{0\}$

summation properties of three subspaces?

Generalized Eigenspaces Associated to Different Values

Are complements of generalized eigenspaces $T$-invariant?

Nilpotent Transformations and Invariant Subspaces

Does transformation invariance of the range and null space imply commutativity?

Let $B={\{x^2, x, 1}\}$ and $S= {\{x^2+x, 2x-1, x+1}\}$ be two basis of $P_2$.

Irreducibility of differential operator?

Invariant subspace of two operators T and U when $TU=UT$

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