Show that any Subspace has a Complement

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This is a rather abstract exercise where we need to show that any subspace has a complement. So that the complement added to the subspace is the whole vector space.

⏰ Timeline
00:00 Exercise
01:15 Defining basis
03:02 Showing first property
04:47 Showing second property
06:35 Conclusion

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  1. Florian Ludewig
  2. complement of subspace
  3. vector space
  4. constructing complement
  5. subspace
  6. linear algebra
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Thank you very much this video helped me immensely, your videos are very underrated !

beri