Linear Algebra 1.3.2 Linear Combinations

[liquidred]

So everyone in my linear algebra class recognize that this one kid is significantly better than the rest of us, lets call him Dylan, and two weeks before the first mid-term this one girl goes
"Dylan how can you possibly be so good at this stuff?"
and he just shows us this quaint little playlist in YouTube that has all your videos.

[leopedregosa]

You really explained very clear Linear Algebra. I got an A in my undergraduate and graduate Linear algebra but then I did all the hard work to understand it because my professors cannot explain it like you do.

[leonardodutra]

You and 3blue1brown are gems to the gamedev community and graphics programmers. Thank you!

[bufflopor]

Shouldn't it be w= -1/4v1 + 5/3v2, since it's on the negative side of origo?

I really appreciate your channel, lots of helpful stuff when needing help understanding university math classes in Norway. :)

[mariamroshdy]

This is so great, Thank You so much for this awesome playlist
Our professor spend hours trying to explain what you explain in less than half an hour!!

[AvatarLAB]

I came here to say you are a God sent lady! You make videos more clear than any professors I've had in any math class.

[leopharand]

A peer of mine shared your playlist with me. Thank you very much for saving my grades! :)

[wajahatalibasharat]

One day you will hit 1 millions subscribers
Best of luck 🎈👏

[ticketpirates]

Fantastic! Everything is explained well...love the application problem....hear ya tomorrow!

[hamdymubarak]

The best Linear Algebra course. Thank you so much.

[kcbtrbt]

I don't usually comment but these are some seriously great videos. Thank you very much :)

[mvyhem]

Good video, you're making my 8 week course actually bearable :)

[portalsandmagicghostnumbercube]

Hello, Kim. I'm a new subscriber. I comprehend your instructions far better than many other video courses on linear algebra. I saved your playlist. I took college algebra and matrices really interested me, so much so that I stopped taking instruction from my professor and became creative in class playing with matrices that I made up ( or at least I thought of them as matrices). I now call them Magic Ghost Number Cubes. They are built up mainly on the commutative property. Matrices that are commutative. I barely passed that class with a teacher's strong urging to repeat that course. I still have an interest in learning as much as I can about matrices in particular and linear algebra in general. I enjoy learning for this playlist and in doing so, trying to apply real math to my cubes, which I consider recreational math for now, since I can't find any application for them yet. My hope is that you could look at my work on this math invention of mine on my own YouTube channel in order to tell me just what they may be, if they are in any sense related to real matrices. I won't post a link in here, but if you could look up the title to one of my videos: 2020: The Year of My Magic Ghost Number Cubes, which I believe will give you the gist of this math idea. Anyway, you are very good at explaining ideas that I find hard to understand from other sources and will continue to enjoy this particular course of yours. And thank you for making this available to your YouTube subscribers. 😁

[ollilui]

22:33 I skipped to the answer 5(X2)= -15, X2=3, 3(-3) = 8 +h, -9=8+h and got the same answer you all got [ h= -17]. Is this the wrong way of doing it? Should I strive to get them into Reduced Echelon Form before answering?
Great Videos! These are helping me prepare for the next Semester.

[GoutamDAS-lswb]

Great presentation. You only forgot to convert kg of silver to tons of silver. Everything else is correct! The answer remains the same

[taasinbinhossainalvi]

You are one of the greatest teacher of all time (sry for bad enlish)

[tonyleung]

Thank you~ This is a lot easier to understand then my long ass textbook which its purpose is to put down detail definition but not let the reader to understand Linear Algebra...

[shmackled]

When I was going through this in college, I really struggled with what a span was, or really why it was practical. If I understand this correctly, asking if a vector b falls within a span in a 3D plane would essentially be like asking if an object is in the rays of a flashlight, likewise for a 2D plane would be, "does this point (or points on this vector) fall between these vectors?"

[AMKADID]

omg this is so good. thanks a lot like a ton of thanks

[ruiliang]

Thanks for good video, ❤, for practice 2, couldn't we ignore the section complely and solve the 2x2 matrix then plug number in to solve h?