Wow, this made so much sense. Thank you!

saved me hours of trying to figure this out thank you!

im going to commit a crime I didnt know that it was this easy to find the span of vectors

where did u get 0.78 from??

the goat

You freaking ANGEL!!! Thank you so much, this makes so much more sense! 🙏

wait, what is the difference between a "set" and a "subset". You seem to use the terms interchangeably?

18 comments on a 5 years old video is wild, linearly independent tho

Love to see math tutorial videos like these

Ur the goat bro, clean simple explanation n it rlly makes sense

Thanks so much.

you;re a beauty mate! way to go thanks for this

can you not do two vectors cross together then dot with the third verctor and if it equals 0 than linearly dependent?

For the second problem, would it be wrong to use sin? I got a different answer but the process still seems correct

Thank you so much I was able to learn this is 10 minutes with your video. 1 hour of lecture from a professor with a German accent is very difficult.

I hate subspaces with a passion, but your video made the concept stick. Appreciate ya 😸

W hack

This makes so much sense now wow!

Genius way of looking at it, thanks for the help

my dog died after this video dropped.

this video ruined my life.

the most useless video i've ever watched, give me 2 minutes and 42 seconds of my life back, thanks. - a concerned uoft mech eng student

you are a national treasure.

The description about the zero vector is wrong according to my homework

Thank you very much,this was a life saver

very wonderful explanation 🌎🌎🌎

eureka

If your vectors are scalar multiples you can transpose your matrix and eliminate the column

buddy, explain it to me like u would explain it to a 7 year old.

Thank you mate

This helped me so much

So, not ANY optimization problem; but just single-variable optimization problems.

I'm an engineering student, and this really helped man! You just earned yourself subscriber. :)

super helpful, thx a lot man

is it possible for the 2nd and 3rd condition to not be true if the 1st one is true?

ok but how tf do you row reduce??? these people im watching are just pulling numbers out their ass

you got mad voicecracks

just out of pure curiosity what year of school do they teach this in?

I have a paper in the morning..this helped ❤

Thank you so much this taught me more in 10 minutes than my math teacher in 3 hours

Amazing. Great level of detail and super easy to follow. Thanks!

You did not do it step by step but it was good

Identity matrix is diagonalization, but doesn't have distinct eigen value. Any one explain it

You are the best

ur saving my life

Thank you so much 😢

Wow what explanation

Nice explanation, thanks!

these questions require creativity, and its so hard for me dang

Can you PLEASE DO A VIDEO ON introduction to related rates with TWO EQUATIONS!? In calculus