The Column Space of a Matrix

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
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

[eqwerewrqwerqre]

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

[ivanwen]

He explained it much better than whatever the hell my prof did with an hour

[donaldbesong]

When I was doing Technology in Sweden, we used his book as our main text for linear algebra. He is a great mathematician.

[dominicj]

I graduated from college 4 years ago but still visits this channel occasionally

[brainboyben]

Wow, he made it so simple. Thank you Gilbert and MIT!

[jacksonmckenzie]

Taking linear algebra right now. The video lectures and Professor Strang have been very helpful!

[KorawichKavee]

good explanation, but what happened to that microphone

[pranavgandhi]

Vedios of Sir Gilbert Strang are so helpful....He always explains such a diffcult topics ...so easily and intresting ly

[sanchitagarwal]

Thanks for the brilliant explanation Prof Strang

[georgesadler]

The father of linear algebra has arrived. These lectures are powerful.

[pasavant]

I never could understand the new math, and I think he is just making this stuff up .

[aftabahmad]

excellent explanation i love you sir with great respect may allaha give you good health and prosperity you are a great teacher

[anissaadmathematics]

this is an easiest way to understand linear algebra. thank you very much

[thomash]

Excellent explanation. Thanks to Prof. Strange.

[luke]

Wait! Is this why in differential equations, to solve we always need both a particular solution and a homogeneous solution????!?!?!?!?

[ahmetsafayazici]

all of those old version videos much better sound quality lol

[andiewang]

Is there no chapter 4? The label jumps from video 3.3c (the tumbling box) to video 5.1

[LeaoDN]

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.

[TheudosGauh]

What is wrong with the microphone..Initially i thought it is my computer. Then i realized it isn’t.

[rawanfouda]

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?