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Are these two spaces isomorphic?

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#prime-numbers #vector-space-isomorphism
44
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Proving that the image of one linear map is isomorphic to another linear map

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#abstract-algebra #vector-space-isomorphism
52
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Isomorphism between strong accessibility algebra and observation space of a Hamiltonian system

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#vector-space-isomorphism #hamilton-equations
109
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Isomorphism between $\Omega_{hor}^{k}\left(P\right)$ and $\Omega^{k}\left(M\right)$

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#differential-forms #principal-bundles #vector-space-isomorphism
30
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Finding an isomomorph to a vector space

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#linear-algebra #vector-spaces #vector-space-isomorphism
612
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How to understand the proof of 3.117 in Axler's book of linear algebra

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#linear-algebra #vector-space-isomorphism
97
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Show that a compact set is bounded and closed (for $n$-dimensional vectorspace)

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#compactness #vector-space-isomorphism
353
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Let $T : V → W$ be an isomorphism. Let $\{v_1,\dots, v_k\}$ be a subset of $V$. Prove that $\{v_1,\dots,v_k\}$ is a linearly independent set

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#linear-algebra #linear-transformations #vector-space-isomorphism
82
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How to determine all the isomorphisms

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#finite-fields #group-isomorphism #vector-space-isomorphism
42
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Isomorphism theorem for several linear mappings

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#linear-algebra #linear-transformations #quotient-spaces #vector-space-isomorphism
260
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Proof for isomorphism $\text{Hom}_A(V,W)\cong V^*\otimes_A W$

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#representation-theory #vector-space-isomorphism
54
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Give an isomorphism $g:V\rightarrow W$ such that ...

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#linear-algebra #vector-space-isomorphism
98
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Show that {$a+bx+cx^2,a_1+b_1x+c_1x^2,a_2+b_2x+c_2x^2$} is a basis of $P_2$, if and only if {$(a,b,c),(a_1,b_1,c_1),(a_2,b_2,c_2)$} is a basis of ...

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#linear-algebra #vector-space-isomorphism
93
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A weird linear algebra exam question

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#linear-algebra #vector-space-isomorphism
66
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Isomorphism theorem for several operators

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#linear-algebra #representation-theory #linear-transformations #quotient-spaces #vector-space-isomorphism

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