Exercise
https://texercises.com/exercise/dual-space-and-maps/
Question
Solution
Short
Video
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
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
Report An Error
You are on texercises.com.
reCaptcha will only work on our main-domain \(\TeX\)ercises.com!
Meta Information
\(\LaTeX\)-Code
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
Contained in these collections

Similar exercises (40)
Title Creator Matched on
Dual maps composition rk tags
Relations to dual spaces rk tags
Linear maps and matrices rk tags
Dimension of the dual space rk tags
Linear maps characteristics II rk tags
more (35 more)
Attributes & Decorations
Tags
dual space, eth, hs22, linear map, lineare algebra, proof
Difficulty
(3, default)
Points
0 (default)
Language
ENG (English)
Type
Proof
Decoration
Content image