Mathematik-Online problems: Problem 42: Is it a Linear Mapping?

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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)

see also:

automatisch erstellt am 14. 10. 2004