List questions from vector-space-isomorphism

Published on 02 May 2014 - 2:06

43

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How do I calculate the new matrix from the new basis?

Published on 15 May 2014 - 18:30

4.1k

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Isomorphism of inner product spaces

Published on 04 Jun 2014 - 1:42

271

Views

Isomorphism between Hilbert spaces

Published on 08 Jun 2014 - 12:21

56

Views

Isomorphism of sheaves between $\mathcal{O}$ and $\Omega$

Published on 09 Jun 2014 - 23:20

135

Views

Show: $\phi: \mathbb{R}^3 \rightarrow \mathcal{su}(2)$, $h \mapsto h \cdot \sigma$ is an isometric isomorphism

Published on 14 Jun 2014 - 19:54

526

Views

Decide whether each map is an isomorphism( if it is an isomorphism then prove it)?

Published on 09 Jul 2014 - 3:51

139

Views

Infinite-dimensional space

Published on 15 Aug 2014 - 14:58

94

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Isomorphism between $E$ and $Lin(E)$ : infinite dimensional case.

Published on 22 Mar 2026 - 14:29

223

Views

What is explicit isomorphic map between $\Bbb R$ and $\text{Alt}^n(\Bbb R^n)$

Published on 28 Sep 2014 - 18:49

625

Views

Prove ord($\phi(g))|$ord$(g)$ using the first isomorphism theorem.

Published on 10 Oct 2014 - 17:50

1.8k

Views

Is an endomorphism always an isomorphism?

Published on 14 Oct 2014 - 2:59

841

Views

Linear Algebra - Prove Isomorphism.

Published on 14 Oct 2014 - 19:22

225

Views

Showing that two vector spaces aren't isomorphic?

Published on 16 Oct 2014 - 7:09

3k

Views

Proving that a map is isomorphic

Published on 06 Nov 2014 - 17:06

List Question

Intuition behind why $\mathbb{C} \cong \mathbb{R}^2$

How do I calculate the new matrix from the new basis?

Isomorphism of inner product spaces

Isomorphism between Hilbert spaces

Isomorphism of sheaves between $\mathcal{O}$ and $\Omega$

Show: $\phi: \mathbb{R}^3 \rightarrow \mathcal{su}(2)$, $h \mapsto h \cdot \sigma$ is an isometric isomorphism

Decide whether each map is an isomorphism( if it is an isomorphism then prove it)?

Infinite-dimensional space

Isomorphism between $E$ and $Lin(E)$ : infinite dimensional case.

What is explicit isomorphic map between $\Bbb R$ and $\text{Alt}^n(\Bbb R^n)$

Prove ord($\phi(g))|$ord$(g)$ using the first isomorphism theorem.

Is an endomorphism always an isomorphism?

Linear Algebra - Prove Isomorphism.

Showing that two vector spaces aren't isomorphic?

Proving that a map is isomorphic

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