Dimension of the Column Space or Rank

[migbadrule]

THANK YOUU!!!!!!!

[thevadidekizambak]

that video will definitely help me in my final exam tomorrow. thank you!

[MashiroSunao]

Mr. Sal Khan. You need to create your own private university!

[andy121232]

These vidoes make linear algebra so much more clear. I am always lost trying to decipher my teachers lectures and the text, but then i watch these vids and it all makes so much sense! Thank you !

[2011bini]

two people teach linear algebra. Sal and the guy who disliked this video.lol

[Hfils]

Good job !

[CryBaby82]

you're the man!

[Krisipoke]

I really love your videos, they are awesome. You explain things much better than most of the professors in my university. Thank you very much.

Although, you made a small mistake at 4:45. You said minus one plus minus one is zero and minus two plus minus two is also zero. Well, the second minus one and the second minus two were actually plus one and plus two. And minus one plus minus one would be minus two, not zero. :)

[teeheetiti]

Sal, why cant i be as smart as you. It would make my life so much easier :(

[crazay1113]

I really think you're on to something...if our fucked up govt. ever decides to relieve the poor of their education (koch brothers have tried) a system like the one you have started would definitely even the playing field.

[XDAdzXD]

its funny, university fees are £3325 in the uk and soon to rise upto £9000... yet every lecturer in my department at ucl is crap.. sometimes i think is it even worth it :S

[kohaku102038]

thx..i've been reading about the rank and i don't understand at all... thx 2 u i understand it now

[renatomendoncaYT]

Thank you for your videos! Very helpful.

Also, the dimC(A) = Number of columns - caracteristic of (A) = 3

:)

[7ammada80]

THANKKKKKKKKKKKK YOU SO MUCH . PLEASE PUT MORE AND MORE VIDEOS. EXPLAIN A SLOWER AND AT THE END OF THE VIDEO SAY MISPLAY WHAT YOU DID . JUST LIKE WHAT YOU ASIDE AT THE END OF THIS ONE. MORE AND MORE VIDEOS PLEASE

[TCHRacoon]

ah I should've skipped right to the end but the rest of the video wasn't too bad to watch either.

[g4yktzgjx6]

There is a speciel place in heaven for you :D

[CCCOBI]

you just taught me in less than 13 minutes, what my prof failed to teach us for the past 2 weeks.

Thanks alot to take time out of your daily life to help out students, especially for free.

[Juliusblue]

amazing... my linear algebra final is next tuesday. I only wish I knew about this throughout the whole semester. I bet I ace it with this help.....

[hahaeliz]

I have a linear algebra exam tomorrow. It's hard and I don't have a good prof and my text book is written in such a way that you have to unscramble what they are trying to get at... The guy I was paying to tutor me was terrible. I don't know why I bothered with all of that when you make something that seems SO FOREIGN so like, normal and not that hard! Your videos make me like linear algebra! (kind of... that might be an exaggeration) but THANK YOU SO MUCH FOR SAVING STUDENTS EVERYWHERE!

[NeoNinjas]

more of the notes in my notebooks come from your videos than from my prof. not because i'm lazy in class but because the things you say are that much more valuable.

thank you

[adermitory]

Sometimes videos do a much better job than the book ever could. Thanks!

[hoomansv]

ur perfect

[bigchunk1]

Column space is column rank?

[georgechisanga]

thanks for making "ranking" easy for me to understand,

[angela1894]

I still don't understand what a column span is

[spikeyredcactus]

how would you do

(00)

(12)

is it possible? would the rank just be 0?

[PinkGbaKid]

at 6:50, i think he meant to say column 4, not "column 3"

[fatehsinghsandhu]

thanks man

[rohanuplekar]

thank you !!!!!

[yynotx]

I wonder if s. kahn took linear algebra with g strang at mit--but video series are interesting--i have to say that sal is somewhat clearer--as he works things out rather than implying the solution

[hilaryeeee]

YOU ARE MY LIFE SAVER. I PAY $500 to take this course, but I am not learning ANYTHING from my prof, I am learning it ALL FROM YOU!! THANK YOU!!!!

[michaelpostal]

@hilaryeeee I Pay $4500 as an international student........ But it's not better than this............

[jaakkokuu]

very helpful!

[andreiduffy]

I can't find anything about Kronecker Capelli and Rouche

[joeyjoey1122]

Good!

[g1tfisted]

thanks for making linear algebra easy, i wish my lecturer could explain things as simply as you do

[werya85]

I feel your pain!

[d4ny36]

@g1tfisted My thoughts exactly. My linear algebra teacher gave us all a take-home test that we have to turn in in two days, and no one really understood his explanation of column space and nullspace. Thank you so much for your help, this will surely help me answer some questions on my test. :P

[GetModernWarfare]

WOW and i thought my teacher tought us hard math....This is like reading chinese

[Zanirtak]

yay