List questions from linear-transformations

Published on 09 Oct 2018 - 15:57

116

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Kernel of a linear transformation $D : \mathbb{C}^{\infty}(\mathbb{R}) \to \mathbb{C}^{\infty}(\mathbb{R})$

Published on 01 Apr 2026 - 20:53

356

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To prove the polynomial mapping is linear

Published on 09 Oct 2018 - 19:00

1.7k

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Let $V$ and $W$ be two vector spaces such that $\text{dim}V=\text{dim}W$ and $T:V\to W$ be a linear map.

Published on 09 Oct 2018 - 19:01

74

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If T is a reflection then $Ker (T-Id) = Im (T-Id)^{\perp}$

Published on 24 Mar 2026 - 23:56

32

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Prove $W$ is also an invariant subsapce of $\sigma^{-1}$

Published on 10 Oct 2018 - 9:01

61

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Let, $S\subseteq V^*$ and $\text{Ann}(S)=\{v\in V|f(v)=0\ \forall f\in S\}$

Published on 25 Mar 2026 - 14:24

606

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Finding alternate transformation matrix for similarity transformation

Published on 26 Mar 2026 - 11:03

251

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Describing the image under $F$ of the points lying on the circle.

Published on 10 Oct 2018 - 13:13

853

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Characteristic polynomial is divisible by $(x-\lambda)^r$

Published on 01 Apr 2026 - 20:45

1.5k

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how to find vertices of polyhedron, given inequalities?

Published on 26 Mar 2026 - 6:21

80

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Column Orderings in any QR/Matrix Factorization Method

Published on 25 Mar 2026 - 9:31

127

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How to define a linear transformation

Published on 28 Mar 2026 - 2:02

957

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If $A$ and $B$ are similar and also $C$ and $D$, is it true that $A+C$ and $B+D$; $AC$ and $BD$ are similiar?

Published on 11 Oct 2018 - 1:02

43

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Composition of two invertible linear maps

Published on 11 Oct 2018 - 7:29

List Question

Finding a matrix whose image matches kernel of a given matrix

Kernel of a linear transformation $D : \mathbb{C}^{\infty}(\mathbb{R}) \to \mathbb{C}^{\infty}(\mathbb{R})$

To prove the polynomial mapping is linear

Let $V$ and $W$ be two vector spaces such that $\text{dim}V=\text{dim}W$ and $T:V\to W$ be a linear map.

If T is a reflection then $Ker (T-Id) = Im (T-Id)^{\perp}$

Prove $W$ is also an invariant subsapce of $\sigma^{-1}$

Let, $S\subseteq V^*$ and $\text{Ann}(S)=\{v\in V|f(v)=0\ \forall f\in S\}$

Finding alternate transformation matrix for similarity transformation

Describing the image under $F$ of the points lying on the circle.

Characteristic polynomial is divisible by $(x-\lambda)^r$

how to find vertices of polyhedron, given inequalities?

Column Orderings in any QR/Matrix Factorization Method

How to define a linear transformation

If $A$ and $B$ are similar and also $C$ and $D$, is it true that $A+C$ and $B+D$; $AC$ and $BD$ are similiar?

Composition of two invertible linear maps

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