Least squares examples | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy

[@FoamySoaps]

This entire series got me through last semester. And if ever I need a refresher on something I come right back. Thank-you!

[@theBIGamazingShim]

i forgot i had an assignment due tonight this video helped me finish in time =D thank you so much for putting this up to help!!

[@paulringab123]

The only moment you think you're smarter than khan is when you know what 15^2 is :D

[@ruhullahdaman]

only if there was more people like you!!!

[@DuderDudre]

@jakubnage lol abstract algebra is abstract. Helpful video too

[@aalhorani]

Great work. But I hoped that you focused more on the graphical meaning of this method. Thanks

[@Bruno-bs5rn]

Bendito sea este hombre

[@Zebban89]

Thanks for doing these awesome videos. Thanks a million!

[@jakubnage]

I would tend to disagree, linear algebra is quite hard and very abstract compared to the applications of calculus and where all the motivations for various ideas are explicitly mentioned when taught. Also, algebra II, III, abstract algebra, etc. are quite difficult and even more abstract.

[@nicksbologna]

Thank you soooo much I just did a math project on the Method of least squares and got a 100/100 on it because of your video

[@burnfrais]

great stuff. can you please do a video on splines, clamped and natural.

[@ethangromek3747]

Awesome, your videos really help.

[@gijsvanderklink2346]

thanks! you really helped me out. :)

[@bowenmadden6122]

OK, that does it. I'm color-coding my math notes from now on. ✨️

[@Javlini]

Sal, you said in the previous video that the equation goes || b - ax^ || not || ax^-b || like you say here. The first one made more sense to me.

[@bh3302]

Thank you so much!

[@DonVaillancourt]

So what does Khan talk about when he just chit-chats with people. He knows everything.

[@faisalalz17]

Thanks Khan!

[@FunOrange42]

something tells me the solution that gives the least squares would be the centroid of that triangle

[@bobsmith2889]

Ya, shouldn't it be?

[@pedrototolo8027]

off topic but I have to say I fangirled a bit when I noticed it was you @FunOrange

[@Yash42189]

i understand u man now :D

[@diegofdezz]

thanks

[@Harp146]

Awesome!

[@reazshafqat5504]

my question would be: why are we multiplying A(transpose) rather than A(inverse)?

[@lucasm4299]

Reaz Shafqat Because non square matrices don’t have inverses.

[@XBARQ]

This is good

[@unclejam1]

better than my prof

[@simobahada]

you're good

[@Toshinben]

Not enough to restore my faith in humanity, but still really nice!

[@saranshshah7636]

if i have 2nd degree equation like y=a+b*(x)+c*(x^2) and (x,y) are (1,2)(2,4)(3,8)(4,7)(5,6)(6,9)(7,10) then what will be least square ??? find a,b,c.

[@thepoet82]

Very good! First I thought you said you were 10 years old. :P Keep in mind that linear algebra is among the simplest college math. :)

[@alexanderchrist2531]

I LOVE YOU

[@canucksdesai]

this is fucking painful

[@DonVaillancourt]

I thought he was finished a quarter way in. No such luck.

[@adithyavarma758]

Thank you sir

[@sheldonchou8830]

thank you!