List questions from linear-transformations

Published on 22 Feb 2026 - 23:27

165

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How they commute $(T-\mu I)(T-\lambda I)^{p-1}(x)=^?(T-\lambda I)^{p-1}(T-\mu I)(x)$

Published on 21 May 2019 - 18:26

1.5k

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How to create a transformation matrix for a M22 → M22 transformation

Published on 29 Mar 2026 - 4:34

517

Views

Are all isometries of subsets affine?

Published on 25 Mar 2026 - 17:39

58

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If $L: V\to V$ is a linear operator, and $V$ has bases of $n$ vectors, can we say rank$L = n$?

Published on 22 May 2019 - 17:32

70

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If for linear operator $A:E\to E$, $A^k=0$, then $A^n=0$

Published on 22 May 2019 - 19:57

86

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If each complex operator has invariant subspaces of any dimension?

Published on 22 May 2019 - 21:42

84

Views

I want to find an explicit direct sum decomposition of the space into T-cyclic subspaces

Published on 28 Mar 2026 - 22:37

201

Views

Prove {$I$ , $A$ , $A^2$ ,...., $A^{n-1}$} is a basis for W

Published on 23 May 2019 - 6:40

743

Views

Prove that if the minimum polynomial is the product of distinct factors then the transformation is diagonalizble.

Published on 23 May 2019 - 13:21

31

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At least one eigenvalue among all roots

Published on 06 Apr 2026 - 14:04

129

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PMA Rudin: understanding the definition of matrices, definition 9.9

Published on 25 May 2019 - 8:32

1k

Views

Kernel of a polynomial which divides the minimal polynomial

Published on 25 Mar 2026 - 15:59

460

Views

Self-adjoint operator is diagonalisable

Published on 26 Mar 2026 - 15:26

2.3k

Views

Finding the rigid body transformation - how many points are required?

Published on 28 Mar 2026 - 0:28

List Question

Frobenius series solutions and asymptotic

How they commute $(T-\mu I)(T-\lambda I)^{p-1}(x)=^?(T-\lambda I)^{p-1}(T-\mu I)(x)$

How to create a transformation matrix for a M22 → M22 transformation

Are all isometries of subsets affine?

If $L: V\to V$ is a linear operator, and $V$ has bases of $n$ vectors, can we say rank$L = n$?

If for linear operator $A:E\to E$, $A^k=0$, then $A^n=0$

If each complex operator has invariant subspaces of any dimension?

I want to find an explicit direct sum decomposition of the space into T-cyclic subspaces

Prove {$I$ , $A$ , $A^2$ ,...., $A^{n-1}$} is a basis for W

Prove that if the minimum polynomial is the product of distinct factors then the transformation is diagonalizble.

At least one eigenvalue among all roots

PMA Rudin: understanding the definition of matrices, definition 9.9

Kernel of a polynomial which divides the minimal polynomial

Self-adjoint operator is diagonalisable

Finding the rigid body transformation - how many points are required?

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