List questions from vector-space-isomorphism

Published on 09 Apr 2026 - 0:51

46

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

Published on 12 Apr 2026 - 7:28

4.1k

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Isomorphism of inner product spaces

Published on 13 Apr 2026 - 4:24

274

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Isomorphism between Hilbert spaces

Published on 11 Apr 2026 - 22:41

59

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

Published on 12 Apr 2026 - 10:52

138

Views

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

Published on 14 Apr 2026 - 2:51

529

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

Published on 14 Apr 2026 - 15:50

142

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Infinite-dimensional space

Published on 12 Apr 2026 - 16:00

98

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

Published on 28 Apr 2026 - 2:47

226

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

Published on 16 Apr 2026 - 1:31

628

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

Published on 16 Apr 2026 - 0:32

1.8k

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Is an endomorphism always an isomorphism?

Published on 11 Apr 2026 - 19:00

844

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Linear Algebra - Prove Isomorphism.

Published on 12 Apr 2026 - 16:15

228

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Showing that two vector spaces aren't isomorphic?

Published on 15 Apr 2026 - 7:32

3k

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Proving that a map is isomorphic

Published on 15 Apr 2026 - 5:39

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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