Linear Algebra 26 | Steinitz Exchange Lemma

[@brightsideofmaths]

Reupload because of a missing minus sign. Thanks to the nice viewer FraserIsland who spotted the mistake immediately.

[@maar2001]

Herr Grossman. I love it when you do proofs.

[@brightsideofmaths]

You are welcome! And thanks for your support :)

[@vpambs1pt]

Awesome, thanks!

[@tomascernansky3960]

thank you for your videos!! you are amazing

[@kingalive3166]

Hi, nice video. Kannst du mir bitte sagen, was das für eine Software ist, die du im Video benutzt? Danke!

[@brightsideofmaths]

Of course: tbsom.de/s/tools

[@MrWater2]

More technicals videos like this one please! I'm doing the proof

[@tony499]

thx, very simple, very helpful

[@brightsideofmaths]

Glad you liked it!

[@NachoSchips]

I know this is am old video but I believe it'd be much less messy to just use the summation symbol. I think most people should be pretty comfortable with it by now, but apart from this little detail this playlist is amazing

[@brightsideofmaths]

Thanks :D

[@stefanz2957]

is there a german version of this video?

[@brightsideofmaths]

Not yet!

[@MrWater2]

By the way there is a typo in the linear algebra book, page 111 (and below) because it said under inner product "euklid" (I asumme that's the latex code without the \)

[@brightsideofmaths]

Thanks! It's not a typo because I want to use it to denote the standard inner product. However, maybe euclid would be better :)

[@jorsonlee]

It feels a bit weird when the statment is "add vectors from B to A", yet you add a¹ to B when proofing🧐

[@brightsideofmaths]

But this is just one step in the proof. The end result is still "adding vectors from B to A" :)

[@jorsonlee]

@@brightsideofmaths oh, I will rewatch it again. Thank you😊

[@jorsonlee]

@@brightsideofmaths After rewatch it, I bascially understand the proof, but in 6:46, how do I know if a1 cannot be the new set C's linear combination (since new set might able to generate a1 I think) and I don't throughly understand the meaning of 'uniquely given'. Thank you for spending time on me sir.

[@DutchMathematician]

@@jorsonlee I think the author explained it fairly well in the video. But perhaps this video might help you to understand the lemma: kzbin.info/www/bejne/eobQfJqro9draZI

[@vlmax_tholey2940]

Haha sehr geiles Videos. Das deutsch ist nicht zu überhören

[@brightsideofmaths]

Haha :D