Null Space and Column Space Basis

[hjhhkq]

can anyone tell which program he is using?????

[vatcherc]

THANK YOU!!!!

[Backspaceu]

LEGENDDD wait for itttttt ARYYYYY !!!

[unnamed1992]

OMG YOUR A GENIUS. I CAN'T BELIEVE I LEARNED THAT.

[TBV121]

I think you made a mistake on your second computation. -2 x Row 1 added to the remainder of the entries in Row 2 should give -1, 2 and 1, not 1, -2 and -1.

[drrojas]

KHAN ACADEMY in HD , aaawwww yea!! 

[flightsim10]

haha, at 0:06 ...CURL over... ..really INTEGRATE everything...

[reypope19]

You're saving my linear algebra grade, THANKS!

[4sky]

2am in morning..."ill let you go for now"

"yes!! im free! i can go to sleep!"

[OopsIDied2]

This is aweesssommeee! Thanks a lot you saved me many hours of googling/asking around :D Where is donation link plz

[chaua03]

legend



[PelicanGodOfJupiter]

Marry me Sal.

[gladragsakshay]

Hes not as good as gilbert strang of MIT !

[Kan32Kan]

@gladragsakshay

Ye hes much better. Gilbert Strang loses his flow really easily and there's a lot of fluff to his lectures. These are very succinct are efficient in their explanation of topics.

[moneysash]

your honestly my idol like they need to make robots programmed to teach like you.

[mwtrek]

If the US really wants to reform its education system, all of our teachers should be replaced with clones of this guy

[cjames9001]

this 25 minute lecture puts 3 weeks of lecture in class to shame, very helpful

[MrCalhoun]

I think it makes a bit more sense to apply Elementary Row Operations upon the Matrix before figuring out the Column Space. You'll see already before if the system of equations collapses the vector to a line, plane or 3d hyper-plane. It also has then a nicer form to check for the results of the Rank-nullity theorem.

[SaudiCanadianBoy]

absolutely Magnificent ..!! No need 2 go to school no more.!

[Warrimonk]

Very helpful thanks, too bad I find it impossible to stay away in any sort of linear algebra lesson *yawn*

[javierzanet]

Well because you have 4 vectors in R3 so you can tell that they are linearly dependent.

[julie5000140]

with out you i think i would end up workin at Mc dicks ! lol

[PrinceFX]

AWESOMENESS !!!

[grovestreet33]

excellent

[yynotx]

i'm feeling nostolgia for calculus 2 : }

[unfragger]

I LLOVE YOU

[Znappy1234]

wtf is this ur nagging about?!!

[fotobogi]

Thank you sir for this video, i have been stuck at this particular point for a while.

[VladimirVichfret]

nice

[kissmyass28]

OMG... I was just on this studying this topic right now... and you posted this up like 10 minutes ago... WOW!!

[KingRobbStark]

@ kissmyass28

He's a psychic, and a witch. I say we burn him, after he tutors us.

[khanacademy]

That's not exactly giving me the best incentive to finish

[KingRobbStark]

lol

[Europemaster]

@khanacademy

he is probably being sarcastic or just a throll, you are doing amazing job with your amazing explanations, dont let that anonymous idiots make you lose strength to carry on. Have a nice day.

[VladimirVichfret]

rofl

[dkkid777]

hi!