Vector Subspaces

MIT 18.06SC Linear Algebra, Fall 2011
Instructor: Nikola Kamburov

A teaching assistant works through a problem on vector subspaces.

License: Creative Commons BY-NC-SA

[RahulMadhavan]

I think there may be a small confusion created by the notation of b rather than x. The question may be better formulated as:
If a vector *x* in R3 satisfies the given equations, then does the set of all such x form a vector subspace

[mkonnaris]

camera work in this video makes it very hard to follow along

[GiovannaIwishyou]

This way of solving works only when the set in question is not a subspace because then you can just give a counterexample and you're done, it's proven. But to prove something is true, I think a better way is to actually show that axioms do hold in that particular case.

[samueldarenskiy]

An example of how not to do a tutorial

[savvyshah]

Solution to the first question is correct but not natural

[EXslowedreverbed]

i don't why but i did not understand anything

[tenzin]

I understood the 1, 3, 4 but was unable to understand his explanation on 2 .we can say that b1 *b2 =b3 which gives 1 (1*1) then a scale multiplication by 2 gives you 2 .my question is how did he again get 2 *2 for b1 and b2 or did I get it wrong

[cmag]

in 2) what about if b1=0 or b2=0? in this case there are 2 possible solutions: (b1, 0, 0) or (0, b2, 0), which both satisfy the equation b1*b2-b3=0 and are subspaces, since they include origin.
what am i missing? thank you :)

[Mineappa]

Finally I can study from mit without being in mit 😢
I hope I was smart enough

[jojjijojijoji]

I didn't get 3 and 4. Can anyone help me please?

[onuryes]

I don't understand why people are complaining about this tutor. His solutions are great if you ask me.

[camilloiscariota]

Why is the first equation in the subspace?

[rajeevjena]

I don't think the problem was solved in a systematic way.

[MirrorNeuron]

can someone please explain how c1(1 0 -1) + c2(1 0 1) creates a plane. When I plot it I see a line. What am I missing here.

[kamrulhassan]

Worst video recording . The cameraman had to move it left and right right and left in every minute . I got pissed off 😤

[robhousehold]

Working on my technical math, and science skills. I'll be going into Calc, Chemistry, Physics and Programming later this month. Any sites, YouTube channels or apps that can help me learn these? Let me know! Thanks!

[lhoben]

am i the only one to find this problem too bad ?

[yaweli]

I feel like screaming out so loud after your explanation of concepts. Wow, any multiple of a sub space is a sub space, oooh yes-sweet like a good food.

[Ziengus]

why are the vector represented with round brackets instead of square brackets?

[SpartanONegative]

So why can I go all Steven KING on Electronics ? Or, would you rather me contact privately so you can profit from me ?