Linear Subspaces

[cut2pece]

can some1 explain me how to solve this Consider R2 with the standard inner product and the subspace U = span  1 2  . For v =  1 1  determine ^u 2 U such that v-u=min(v-u)

[cut2pece]

can some1 explain me how to solve this Consider R2 with the standard inner product and the subspace U = span  1 2  . For v =  1 1  determine ^u 2 U such that v-u=min(v-u)

[Munusculum]

In 6 minutes I learned what 4 class periods could not.

[nurhaziranorizan]

Thanks. I wish I would get an A :)

[123aellis]

Question:

Aren't the tests for closure for both scalar mult. and vector add. arbitrary? If you used c=3 for scalar multiplication, you would have had a new vector, still with x>0, and would answer that it is closed, and therefore is a subspace...? I'm having trouble getting my head around the idea of this...

[japierdoleokurwa]

@123aellis in example (x1 in R and x1>0, x2 in R) this will be a subspace if any c that is in real set will satisfy above conditions. Your 'c' does satisfy condition -> v[2,4]*3=[6,12]. 6 is greater than 0. However -3 will product vector [-6,-12]. -6 does not satisfy condition x1>0. Important is that it must be valid for any c's in R.

[kckdude2]

I like how I'm not the only one who's bad at drawing curly brackets lol XD.

[ViRGiNsOnLY]

i'm currently enrolled in the University of Khan thanks to shitty U of T teachers

[srkambbs]

@ViRGiNsOnLY hmmm..nice to see a fellow frosh here!!. I have been changing lectures to understand this but dint realize I could just watch a video.

[ViRGiNsOnLY]

@srkambbs mann im shitting bricks for the upcoming linear alg final, so not prepared!

[srkambbs]

@ViRGiNsOnLY I know me too...The lyryx labs took SO MUCH time. Our prof was like its gonna be better than calc lol

[ViRGiNsOnLY]

@srkambbs haha i skipped the lyryx =.= gg

[srkambbs]

@ViRGiNsOnLY lol it was pretty easy after watching the videos. Lyryx is my excuse to study algebra lol

[rahalrsh]

great video! thanks..

[KanzakiGNT]

"If I just add that to that? What do I get? I get THAT."

08:05 Explanation by Salman Khan :D Thanks for the video !

[AvengedRocker92]

Really helped out, thanx for the video!

[kellymichel29]

this is so great. i finally understand what nonempty means!

[143hap]

I won't say where I'm attending school, but geez, can you come teach here, I'm scrwed with these gtfs, well I have you so guess not, thanks brother, hope you get this,

[nqvietanh343]

If I have Khanacademy on youtube, what is the point of staying in my math class? Well, I have more time to study other classes! Yay!

[albeeeezy]

Thanks, this was very helpful.

[jasonjps]

Is there a way to tell the order of all these videos other than date posted?

[srkambbs]

@jasonjps go to the khan academy website..its on the homepage

[darrowshire11]

Perfect! Just what i needed! Thx alot

[homestar92]

These videos are teaching me more than my professor does. You may be saving my grade.

[Bumperpegasus]

And you are officially my new teacher

[wesKokigen]

THanks! It makes so much sense now.

[aandha1]

This guy is just unbelievale !! Thumbs upp!!!

[Eelpie920]

Thanks so much for all of these videos, really helps me with my linalg assignments! keep up the good work!

[devilpizza123]

thanks! my lecturer is terrible at explaining this stuff and uses all the extremely abstract notation stuff that no body understands. your explanations are easy to understand and make difficult to grasp concepts simple. i love it!

[dethinabottle]

thums up if you came here trying to figure out what toby was talking abought. if you came here on purpos you have a very big brain

[leoncio91]

@dethinabottle office?

[sevengreenmice]

I'm doing a bit of passive revision before my exam tomorrow. A certain University of Leeds teaches Introductory Linear Algebra terribly.

[calvinduh]

THANKS :D

[chrisxjeong]

i'm currently enrolled in the University of Khan thanks to shitty UC teachers

[InfamousShogun]

THANK YOU

[roberth214]

these are wonderful, but i still have 40 hours of videos to watch and only 16 hours until my exam starts. Fuck me?

[erich03]

I got 20% below class average on my Midterm. Final is on Friday. I'm dead.

[roberth214]

@erich03 yep, i'm in the same boat as you. Fucked the midterms, final is on monday for me. Hope yours went okay.

[InfamousShogun]

@roberth214 wish you the best :(

[roberth214]

@InfamousShogun thanks...just finished it 3 minutes ago...i didn't study linear transformations at all, in hopes that it wouldn't be covered in detail on the exam. Of course, murphy's law applies here, and there were 2~3 out of 8 questions involving linear transforms. Other than that, I got most of it. But of course, now I'm fucked. But may the math gods hear your wishes for me and answer my prayers! Thanks!

[InfamousShogun]

@roberth214 lol thx for the reply hehe ..

[InfamousShogun]

@erich03 hope you passed :(

[Linkmarth]

thank you so much

[taltor727]

Thanks, you saved me, since my linear algebra professor is extremely lazy!!!

[jvargas714]

Linear algebra test tomorrow not worried about this topic thanks to you!!!! Great vid!!

[mikkelchap]

great vids always.

where do you/he go over closure?

thx

[ClownDatWalk]

what do i do without u :)

[UndeadTheta]

Sal, you said that all spans are subspaces, I'm just wondering does it go the other way? Are spans of vectors the only subsets that are valid subspaces?

[cwruhsk5]

Wow..... I spent five hours trying to learn this, and still could not comprehend the material. 20 minutes of this video, and everything makes sense now. This is awesome!!!

[cribaleon]

Thanks!

[chvere123]

it really saved me time for understanding these materials, thanks a lot.

[LAnonHubbard]

Very cool explanation. I've been trying to teach myself this sort of stuff from books and Wikipedia. They're too dry for my current level of knowledge. Your dynamic presentation is exactly what I need and I'm sure will help me to understand other resources.

[rosaline1993]

THANKYOU :) u saved my life with this video..

[nturner4]

wow this is awesome. this is SO much more helpful than any lecture I've been to this year!

[fantasy6420]

o damn, i should just pay you for these awesome lectures... i dont get how my prof is my prof... she doesnt even know what she's talking about

[clevermagician2]

why am i even paying money to hear from some prof who doesnt even seem to know wth he's talking about?

this guy's the man

i got exam in 2 hours and i'm learning more in these 2 hours than i have had in the last 2 months in lecture

[PeterZhaoTMac]

@clevermagician2 that is soooo fucin truee!!!!!!!!!!!!!!! god dammit

[Andradam33]

Making up where my prof lacks - every time. Thanks for your useful explanations and videos.

[ocsantiago]

This is great. I just discovered your library as well. Great stuff!!

[dqlingling]

thank you so much :D

[mrmts]

Awesome. Wish every instructor is as lucid as you are.

[shaahinflamenco]

i wish my teacher was like him

[shivvermitimber]

this is really very well explained. thanks for saving me!

[teddybeitler]

once again, you have saved me. thank you sir!

[ebayrak]

As a software engineering student who has been struggling with linear algebra for years, this videos are like magic to me. I didn't know linear algebra could be told this simple and effective. Many thanks from Turkey. Wish me luck on my make up exam tomorrow :D

[wonkamobil]

Thanks a ton for the video, hopefully i'll pass my final because of this lol

[WannabeWakeman]

this is really helpful especially as i have an exam on it tomorrow thank you :)

[ALDabbagh1988]

Thanks you VERY MUCH for the nice, simple, useful explanation. God bless you

[vaunstone89]

my instructor sucks... i learn everything from these lectures and pay tuition fee to university ... omg i'm so stupid ... lmao

[iDarron]

Wow...very well explained!

[IndulgeObscenity]

You are truly a great teacher! Than you for the posting!

[StepBySt3p]

Your inspiring

[enjoyablesounds]

Thank you sal, you are a great example of a good human being. With all negativity around the world you give me hope. Thank you so so much :)

[mrcleanorleans16]

You are a RN as in a Real Nigger

[xalplayer92]

god i watch these and it just clicks keep it up man youre great

[luayabd]

thank you very much

[dgbsco]

This guy rocks!

[mrdylanman666]

Something just completely clicked. Thanks.

[whitae4]

you have changed my math life forever!!! Thank you for the videos!!!

[lisedaton]

you are definetly a genius!!! No. 1 Fan!!!!

[bhatmasdal]

FINAALLY I GET THIS!!!!

[dimitrix3333]

You make amazing videos. Thank you so much!

[obik9]

KISS( Keep it simple, stupid) , You my god!!!! Thank you very much for the videos!!!!!

BIG RESPECT!!!!!!!!!!!!

[Huseynelli]

Thank you veeeeeeeeeeeeery muuch!!

Come to our university and teach it us, intead of our prof :)!

I will recommend it to everyone! GREAT! SIMPLY GREAT!

[yynotx]

this subset material just seems like linguistics--i

wonder if there is a payoff

[Ulquiorrapwns]

@yynotx you just summed up all of Linear Algebra haha, as long as you can row reduce a matrix, the rest is semantics and definitions of properties XD but its soooo important for higher lever math!

[biggser16]

your videos are a hidden gift...thanks for the great explanations and understanding :)

[1908fcinternazionale]

those 2 circles already explained what a subspace is...thank you very much !

[MsEwander]

WOW, this is it!!! It's just great, thnx:)

[Crystalwaa]

thank you so much!!!!! great explaination =D

[suriyadaruwa]

amazin thnx

[jumungjo]

thank you

[SciFiGirl1023]

this helped so much thank you soo much!

[kaychieh]

than you! :-)