List questions from linear-transformations

Published on 28 Mar 2026 - 13:22

1.1k

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The matrix transformation $A$ to $AB - BA$

Published on 06 Nov 2018 - 2:02

47

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Showing continuity of a linear functional

Published on 06 Nov 2018 - 4:58

122

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Image and Kernel of a linear transformation, Dimension

Published on 06 Nov 2018 - 6:32

477

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Proving that $\dim T^{-1}(E) = \dim(\operatorname{Ker}T) + \dim (\operatorname{Ker}T\cap\operatorname{Im}(T))$

Published on 06 Nov 2018 - 14:05

199

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finding a projection on tensor spaces

Published on 25 Mar 2026 - 4:35

170

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Let $V$ be finite dimensional vector space. $T$ is a linear transformation from $V$ into $V$ and $E$ is a subspace of $V$.

Published on 27 Mar 2026 - 22:57

89

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Show that $f\big(\text{Ker}(g)\big)\subseteq \text{Ker}(g)$ and $f\big(\text{Im}(g)\big)\subseteq \text{Im}(g)$.

Published on 28 Mar 2026 - 12:14

2.7k

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Proof about Span

Published on 06 Nov 2018 - 20:21

481

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Show that $\ker(f)\cap \ker(g)=\{0\},\;\ker(f) + \ker(g) = V $

Published on 06 Nov 2018 - 20:59

1.1k

Views

Linear transformation followed by change of basis

Published on 26 Mar 2026 - 14:43

45

Views

If two linear transformations are one to one, is the product of them also one to one?

Published on 07 Nov 2018 - 4:20

147

Views

Modeling a linear system with unknown offset

Published on 28 Mar 2026 - 8:17

25

Views

Relationship between the matrix of a linear application and the matrix of the inverse application

Published on 07 Nov 2018 - 13:49

26

Views

Bound of Metrics for Renormalizing Space

Published on 07 Nov 2018 - 16:50

List Question

Equivalent representation definitions

The matrix transformation $A$ to $AB - BA$

Showing continuity of a linear functional

Image and Kernel of a linear transformation, Dimension

Proving that $\dim T^{-1}(E) = \dim(\operatorname{Ker}T) + \dim (\operatorname{Ker}T\cap\operatorname{Im}(T))$

finding a projection on tensor spaces

Let $V$ be finite dimensional vector space. $T$ is a linear transformation from $V$ into $V$ and $E$ is a subspace of $V$.

Show that $f\big(\text{Ker}(g)\big)\subseteq \text{Ker}(g)$ and $f\big(\text{Im}(g)\big)\subseteq \text{Im}(g)$.

Proof about Span

Show that $\ker(f)\cap \ker(g)=\{0\},\;\ker(f) + \ker(g) = V $

Linear transformation followed by change of basis

If two linear transformations are one to one, is the product of them also one to one?

Modeling a linear system with unknown offset

Relationship between the matrix of a linear application and the matrix of the inverse application

Bound of Metrics for Renormalizing Space

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