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Mathematik-Online problems:

Problem 42: Is it a Linear Mapping?


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Given the map $ \gamma: \mathbb{C}\longrightarrow\mathbb{C},\
z\longmapsto\overline{z}$. Is the map linear, if one considers $ \mathbb{C}$ as a

$\displaystyle {\bf {a)}} ~~ \mathbb{C}{\textrm{--vector space}}\qquad {\bf {b)}} ~~
\mathbb{R}{\textrm{--vector space}}
$

If so, what's the matrix representation?
(Authors: Kimmerle/Roggenkamp/Höfert)

Solution:


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  automatisch erstellt am 14. 10. 2004