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Is complexification of a complex vector space admissible?

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#vector-spaces #direct-sum #vector-space-isomorphism
53
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proving a sequence of isomorphisms for an algebraic group

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#abstract-algebra #modules #vector-space-isomorphism
267
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Prove the direct sum $U \oplus \ker f$ is isomorph to $V$

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#linear-algebra #linear-transformations #direct-sum #vector-space-isomorphism
841
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Definition of canonical isomorphism between two vector spaces

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#linear-algebra #linear-transformations #vector-space-isomorphism
72
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Clarification of "Magnification" of Homeomorphisms

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#general-topology #geometry #geometric-topology #vector-space-isomorphism
848
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Change of basis isomorphism

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#linear-algebra #change-of-basis #vector-space-isomorphism
96
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Isomorphism between sum of subspaces and its product space when the main space has no finite dimension

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#linear-algebra #direct-sum #vector-space-isomorphism
178
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V be a vector space over F. prove V is infinite dimensional if and only if there exists a proper subspace W of V which is isomorphic to V

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#vector-spaces #vector-space-isomorphism
112
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Isomorphism of a vector space with $R^n$ and the role of inner product

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#linear-algebra #vector-spaces #vector-space-isomorphism
27
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What is the name of an operation that reduces the number of elements of a vector while keeping the number of basis vectors the same

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#vector-spaces #vectors #terminology #projection #vector-space-isomorphism
88
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The matrix representation for the basis of the vector space of the linear transformations $\mathcal{L}(V,\,W)$.

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#linear-algebra #matrices #vector-spaces #linear-transformations #vector-space-isomorphism
210
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Establishing the isomorphism between a vector space of $n\times n$ real matrices and $\Bbb R^{n\times n}$.

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#linear-algebra #tensor-products #vector-space-isomorphism
181
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Isomorphisms for a set of functions

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#linear-algebra #vector-space-isomorphism
154
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Isomorphism id+f where f is a linear map

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#linear-algebra #vector-spaces #linear-transformations #vector-space-isomorphism
40
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Question about isomorphisms

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#vector-space-isomorphism

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