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Let $V$, $W$ be vector spaces over $\mathbb{F}$. A linear transformation $T:V\to W$ is an isomorphism is it is a bijection.
If there are isomorphisms from $V$ to $W$, then $V$ and $W$ are isomorphic.
If there are isomorphisms from $V$ to $W$, then $V$ and $W$ are isomorphic.
Concepts
Isomorphic vector spaces have the same vector space structures such as dimensions and stuff.Used In
Coming soonHypothesis
Coming soonResults
Coming soon
Let $V$, $W$ be vector spaces over $\mathbb{F}$. A linear transformation $T:V\to W$ is an isomorphism is it is a bijection.
If there are isomorphisms from $V$ to $W$, then $V$ and $W$ are isomorphic.
If there are isomorphisms from $V$ to $W$, then $V$ and $W$ are isomorphic.
Concepts
Isomorphic vector spaces have the same vector space structures such as dimensions and stuff.Used In
Coming soonHypothesis
Coming soonResults
Coming soon
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used in
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