Linear Algebra 4d: What is a Linear Property and Why It's Synonymous with Subspace

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This is one of the best videos so far in this playlist. I really enjoyed your approach of making us viewers look for the flaw in the argument. That really made me think! I have loved all your videos so far, and I thank you for the wonderful job you have done!

nataliesteffen
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The best ever professor I have ever seen in my life. thank you very much, sir. loads of love and respect for your in-depth analysis of linear algebra....

kmsubasishjena
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Hello. I'm a masters student on a land surveying course. I have been out of university for a few years, and haven't studied maths since I was 16. I realised how behind I was on things that are treated as assumed knowledge on my course, and even the stuff that is taught, like least squares and transformation equations for example, is rushed through and poorly explained.

Anyway I want to deeply thank you for your videos. I saw the view count and i cant believe it, I want you to know these are still invaluable to me. I was so frustrated and down on my course, but actually understanding these concepts from the ground up, for the first time I can see the beauty in math, and I'm actually excited to continue learning

benk
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This is brilliant. As a math tutor, I'm learning as much about teaching style as about LA.

MathAdam
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Linear property is synonymous with for that

kf
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1:45 Example #1
2:28 3:44 4:30 Linear Property
5:48 Example #2
7:14 Example #3
8:33 Linear Properties and Subspaces

antonellomascarello
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Aha moment : linear property is one which extracts subspace from vector space

NamitKewat
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There is this strange feel of reminiscence whenever I hear this guy speaks and also from the way he attacks a concept and I wonder why and who for a couple days until I realize he's reminding me of Feynman's lectures

clo
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07:55 Is this statement also correct for vector spaces over *finite fields* ?

alojzybabel
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The "all entries even" property is preserved under addition though!

CardiganBear