The Column Space of a Matrix
ฝัง
- เผยแพร่เมื่อ 5 พ.ค. 2016
- MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: ocw.mit.edu/RES-18-009F15
Instructor: Gilbert Strang
Capturing all combinations of the columns gives the column space of the matrix. It is a subspace (such as a plane).
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
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My university was clearing out excess math books they had that nobody wanted and i managed to grab a copy of Strang's Introduction to Linear Algebra signed in the front and addressed to an old professor i had who's since retired.
I've been working through more sophisticated applied linear algebra in the lead up to quantum mechanics and want to thank dr Strang for such a wonderful resource. I doubt he'll see this but i hope someone does
Hey @eqwerewrqwerqre, I am a sophomore student doing CSE and am very interested and wanted to learn about quantum mechanics, and I don't know where to start, can you point me to some books or channels on YT.
@@tejasgudi1169 3b1b
He explained it much better than whatever the hell my prof did with an hour
I know how you feel
Ofc. He's a proffessor in MIT
😂😂
I graduated from college 4 years ago but still visits this channel occasionally
When I was doing Technology in Sweden, we used his book as our main text for linear algebra. He is a great mathematician.
Wow, he made it so simple. Thank you Gilbert and MIT!
good explanation , but what happened to that microphone
he is cursing 😂
@@mr22b56 😂😂😂😂
I never could understand the new math, and I think he is just making this stuff up .
Taking linear algebra right now. The video lectures and Professor Strang have been very helpful!
Vedios of Sir Gilbert Strang are so helpful....He always explains such a diffcult topics ...so easily and intresting ly
Thanks for the brilliant explanation Prof Strang
Respect to Prof. Strang!
Excellent explanation. Thanks to Prof. Strange.
What a legend. plain and simple
excellent explanation i love you sir with great respect may allaha give you good health and prosperity you are a great teacher
fuck allah
Is there no chapter 4? The label jumps from video 3.3c (the tumbling box) to video 5.1
this is an easiest way to understand linear algebra. thank you very much
legend !!
The father of linear algebra has arrived. These lectures are powerful.
God bless you man... what a legend.
Thank you!
Wait! Is this why in differential equations, to solve we always need both a particular solution and a homogeneous solution????!?!?!?!?
Indeed. That part of finding solutions to second order differential equations makes a lot more sense with linear algebra in mind.
Mesmerising
Very helpful!
Great Mathematician. Hats off
I still do not get what does it mean the V complete is equal to v particular + v null?? is that the same as saying that Rank+nullity= n? Please anyone?
Great! Clear and to the point. But fire th video guy :)
all of those old version videos much better sound quality lol
nice vid 🙂
v is the paint still in the can and A is the painter... Some low rank painters (like me) can paint only a straight line, others can paint only a wall and the complete ones can paint the whole 3D space by throwing the v-paint anywhere they want.
So that's what it meant by particular solution plus general solution....
He reminds me of Frank in Shameless.
What is wrong with the microphone..Initially i thought it is my computer. Then i realized it isn’t.
What is the basis and dimension of the span of a system that is inconsistent?
I think we first should determine what kind of space we are looking at: column space, null space, or row space.
Check this video:
th-cam.com/video/eeMJg4uI7o0/w-d-xo.html
Cutest prof ever!!
God take the soul of the camera man. He just ruined a gem..
A God
ok
Ironic that an MIT video has such shitty sound quality. Good content though.