Changing Between Two Bases | Derivation + Example

[@1KosovoJeSrbija1]

Literally the best algebra channel on youtube

[@jeffrey8770]

imo by far the best vid on youtube explaining the concept of a change of basis. I had trouble understanding this for a really long time and now all of a sudden , I do, so thank you!

[@farruhhabibullaev5316]

Oh, after a month of struggle on the topic, I finally got it. Excellent video.

[@kiriakosriniou7122]

This is by far the best and most intuitive explanation on basis change.

[@YashTrivedi21]

Your videos on Linear Algebra are the best ones on KZbin. Thanks. :)

[@DrTrefor]

Glad you like them!

[@sofiachalkias5767]

I didn't understand how the change of basis matrix was a thing until you showed these formulas that my prof shorthanded during lecture. Thank you!!

[@jau-minlien5532]

This is the best algebraic demonstration of basis change I have ever seen.

[@ameer9672]

Man i can see the passion and love of math in your eyes when you explain!THANK YOU❤!

[@kathirs1]

I am watching all your LA videos ! They're really helpful

[@md.robiulislam1592]

Thank you so much sir. your teaching method of actual geometrical visualization is great. Everyone should follow this. I am really grateful to you.

[@oliverle5606]

Thank you so much. The equation just dissolved all of the fog about the changing bases within my brain

[@kietnguyenhung1505]

I have been struggling one day figuring out what the hell is going and luckily I see this video, you save me alot of times, thank you

[@AhmedAbdelazim--]

I think these series are so great! I`ll share it with my friends I hope u extend your playlists to more math branches in the future. ^_^

[@ngilad8]

Thank you very much on this series and this particularly video. Excellent and very clear stuff.

[@mechros4460]

27k view only?? By far the best video explaining change of bases to me. After this video all kinds of derivations and applications become apparent.

[@nachiket481]

Could not be any better Dr Bazett

[@learnalways8213]

Very nice and easy way to teach thank you Sir.

[@captainhd9741]

Thank you. Really. This is such an amazing video, short, concise, brings reminders of how to think, you show your own reasoning, the symbols are not some confusing ai and aj type of thing, and there are examples. Keep powering through maths!

[@DrTrefor]

Glad you enjoyed!

[@pedrogaleano6722]

Great as always Mr. Bazett!

[@ronicave8522]

Man all your videos have helped me through all my mathy courses they are excelent

[@sebastianramirezcaseres2965]

Thanks for the explanation dr. Greetings from colombia.

[@Tyokok]

thanks for THE GREATEST lecture!

[@mostafaahmadi4998]

Just incredible. Thank you so much.

[@timavilov8712]

You are the guilty of my healthy mental state and 8hr of sleep. Thank you !

[@thomasezequielfisher9161]

You are guilty* or You're the guilty one*

[@Unidentifying]

im finally getting linear algebra. probably not in time for my exam but for the retake :D

[@asht7788]

If you see, these topics are intuitive but it exposes a flaw in our education system. I should get my degree from KZbin

[@matejcataric2259]

very nice explanation!

[@TheWeberGer]

Very good explanation. Thanks

[@bernarddoherty4014]

Swear to God, Abstract linear Algebra is the hardest branch of mathematics to understand! It’s not called abstract for nothing! It’s EZ once you get it, but getting there requires a lot of hair pulling! And WTF’ing! lol

[@swoch185]

Very good expliation!

[@petermanfield]

Love you Trefor!

[@michaellam4082]

If the commutativity of matrix multiplication matters for what it is, how is equation 6:15 valid? inv(Pc)*(x)b = inv(Pb)*(x)c is what I'm talking about, with inv() as the inverse notation (as in matlab command) Edit: I'd like to add tho, I never understood change of basis until I watched this video. So this was very good and your work definitely helped me understand linear algebra much better!! Thanks!

[@nayeemx11]

awesome ❤❤

[@WarzoneMasters]

dude god bless you

[@jay.mona.31]

Wow this is so helpful 👍🏻👍🏻👍🏻

[@matthewsarsam8920]

Whenever I have a new basis then can I always think about the new basis vectors as written in the standard basis. Essentially, can the standard basis be the “master basis” where everything can be though of through that basis?

[@edisondoko9113]

I love this explanation

[@maximuz8533]

2 days of my life explained in 1 video

[@sukranochani5764]

Thankyou sir

[@mohamedmouh3949]

thank you so much

[@Imran52Feb]

If inverse does not exist transformation is not possible, is it ?

[@halim_Ha]

good good subscribed

[@skillick]

Great teacher, why is he in such a rush?

[@alfcnz]

LOL, this is *so* confusing… Haha 😅😅😅 I feel extremely rusty!

[@kjekelle96]

I'm kind of confused because as far as I understand this is totally inapplicable in more abstract vector spaces such as R[X]. Did you explicitly mention in the series that you're going to focus on coordinate spaces?

[@DrTrefor]

Indeed, this linear algebra playlist is intended entirely in R^n. Of course, a lot of things extend pretty similarly to other vector spaces, but that is beyond the scope of this particular series.

[@youssefdirani]

The shirt button is open. Anyway, super thanks sir.

[@marcuswortmann9664]

we all know what Pc does... checking someones privilage

[@marcuswortmann9664]

and check on someones micro-aggresions

[@Yishay.S]

A P(iece) of C(ake)

[@openyard]

Ace of base?

[@PoloJust]

hero