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https://texercises.com/exercise/dual-space-and-maps/
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Exercise:
Let VK_textcol^n. Then we can identify V^* with K_textrow^n as follows: If lin K_textrow^n then l defines a functional f_l:K_textcol^nlongrightarrow K by f_lv: l v in M_times Kcong K. The map D:K_textrow^nlongrightarrow K_textcol^n^* defined by Dl:f_l is a linear map and is an isomorphism.

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todo marked as exercise
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Exercise:
Let VK_textcol^n. Then we can identify V^* with K_textrow^n as follows: If lin K_textrow^n then l defines a functional f_l:K_textcol^nlongrightarrow K by f_lv: l v in M_times Kcong K. The map D:K_textrow^nlongrightarrow K_textcol^n^* defined by Dl:f_l is a linear map and is an isomorphism.

Solution:
todo marked as exercise
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dual space, eth, hs22, linear map, lineare algebra, proof
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(3, default)
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Language
ENG (English)
Type
Proof
Creator rk
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