Linear Algebra - 13 - Checking a subspace EXAMPLE

An example demonstrating the process in determining if a set or space is a subspace.
W={ [a, a-b, 3b] | a,b are real numbers } Determine if W is a subspace of R3

[@F34R303]

Spent like an hour watching other videos and reading the textbook. You actually explained it with logic I could understand, thanks so much

[@Mary-gr3mr]

I was lost but now I'm found. Thank you so much

[@Bounty_rash844]

And either

[@Ellipse_is]

Dude you are the FIRST person to explain ANYTHING about subspace. Thank you, this was so much help. Every other Subspace video out there is FUCKED.

[@gizememir5801]

sakin ol amk kjshkjsafkja

[@erikmachado4489]

This topic was so abstract I couldn't understand what was going on behind the scenes. Like I knew how to get the answer but I didnt know what I was doing. No other video explained the concept or the how. Thise videos just literally said "as long as these 3 conditions are it is a subspace". This video clarifies perfectly what it was I needed. I really don't understand why teachers try to overcomplicate everything.

[@MystyXsoul]

Much clearer than the other vids I found, tysm

[@user-uj2sh9gf6o]

you are the only person to ACTUALLY explain the logic behind the rules. You're perfect and sent from God.

[@Lexyvil]

Very useful! Every source I checked, they did not show examples, but explained the theory, which only got me lost. But seeing how to actually test the axioms, that helps! Thanks!

[@Yahhkult]

Thanks man! I got a final exam coming up and no videos/tutorials helped me. Your explanation was very concise and clear, thanks!

[@selenav9514]

I've been struggling with this and with one video, I feel I understand it so much better

[@ImTheBoss914]

Wow, this was such a clear and quick video!!!

[@denicapavlova2820]

So clear and understandable ! I spent an hour on other videos trying to comprehend it haha. Thank you very much !!!!

[@Youbettersaysubhanallah]

Al Salamu 'alaykom wa rahmatu Allah wa barakatuh , may Allah subhanahu wa ta'ala bless my muslimin brothers and sisters and make this knowledge beneficial for your dunya and akhira ameen ya Rabbi

[@Bell.A130]

Just saved my ass. I had a quiz I was losing my mind trying to prepare for. You did this so concisely and clearly. Thank you!

[@vincentd1992]

Thanks! Why does everyone else fail to explain it so clearly? :) Great job helping me - and many others.

[@jadeclarke4116]

may god bless you eternally my friend

[@LOLjerel]

Thank you for this!

[@vincentlin7372]

Thank you you saved me from those complicated abstraction

[@danielwinner6394]

I agree with all the other comments. First I found that got me to understand and it did it really well

[@ld8162]

Wow! Is the easiest way which I found in youtube. Thanks you a lot!

[@alfredolim6456]

thank you for making this video

[@vishveshsinghpal4289]

you saved me a lot of hours thank you very much

[@huthayfa1723]

Amazing explanation thanks a lot

[@emersoncelestial7590]

in 2:13, should be the subspace of Row(A) = R(subscript)4?

[@sanket7877]

You explained it very nicely. Thanks a lot sir . #staysafe

[@christinejoyvibar3660]

Good day sir, can I ask if it is ok to add different vector in step two which in closed under addition?

[@richardwilliamjohnson8566]

thanks a lot this really helped

[@oscarwong666]

Very helpful, thank you very much.

[@arjay_2002]

THANK YA THAT WAS A VERY CREATIVE MATRIX PPPFFFTTT

[@learnmathematics1115]

GOD bless you, you are good Teacher

[@organorganorganorgan]

Thank you so muchhhhh

[@thomasvanrooyen6689]

Thanks Brooo saved my life ...

[@TheLazyEngineer]

Thomas Van rooyen Good luck, my man!

[@arulbalasachin2005]

What if two rows have the same element still it spans ????

[@celeryystick]

Hero

[@thasneem-566]

thanks alottttttttttttt

[@razzbag9237]

what about for C being irrational? e.g. Pi or does C have to be real. thanks

[@TheLazyEngineer]

An irrational number is a real number.

[@ayatandiyed5483]

veryy helpful thankk you

[@Chris-bb6yh]

shouldn't col(A) be R^4 and row(A) be R^4? at 2:12

[@mukarramhabeeb203]

@Lazy engineer, I want to ask, can W still be a subspace of R, if one or two of the three conditions does satisfy the solution? Pls I need ur reply ASAP. thanks

[@TheLazyEngineer]

Can you reword your question?

[@maxbradshaw8083]

0:40 "Let's get a little creative here"

[@DanTutorial]

Do you know anything about a emissary here ?

[@bhattaraisandesh]

Whats the software that you use?

[@TheLazyEngineer]

yolok1ng it’s called SmoothDraw

[@swiftplanner]

Thanks alot bro

[@TheLazyEngineer]

No prob. Good luck!

[@swiftplanner]

@@TheLazyEngineer again thanks for the fervent response.

[@deepika2830]

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[@coast_gaurd]

+1 to the comment below mine

[@user-mm3cv2xt6f]

you sound like chris patt :D

[@TheLazyEngineer]

I look like him too apparently.

[@killuazoldyck169]

i love you are u single

[@ammarparmr]

Great explanation,
However,
I did the same test for scalar multipliction, but your test is not enough
I did It for (x^2, -x^2,0) where x€R
Thanks