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Mathematics
Linear and Abstract Algebra
Double Dual Example: V=R^2 to V** Transformation
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[QUOTE="fresh_42, post: 6227527, member: 572553"] Lets say we have a basis ##\{\,v_k\,\}## of ##V##. Then we get a basis for ##V^*## by ##\{\,f_k\, : \, v_m \longmapsto \langle v_m,v_k \rangle\,\}##. In coordinates the two are indistinguishable, their usage changed. Repeating this process for ##V^*## as basic vector space leads you automatically back to ##V##. [/QUOTE]
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Forums
Mathematics
Linear and Abstract Algebra
Double Dual Example: V=R^2 to V** Transformation
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