4 years later and you're still helping people... ur a legend, thanks man!
@Winklemanus5 жыл бұрын
I can tell the guy who does these is handsome.
@stemsupport36455 жыл бұрын
love u graham
@simmzlingsmthiyane18093 жыл бұрын
Focus
@odgarig8601 Жыл бұрын
My boy thirsting in linear algebra comments section. Y'all wild.
@jonahs924 ай бұрын
Lol you were right 😏
@odie-wankenodie8607Ай бұрын
Trueeee
@coohjay4 жыл бұрын
i love how the voice cracking got more and more intense as the video went on, great vid btw :)
@angelahuynh50744 жыл бұрын
it's probably cause he's so passionate about math
@Quiyum2 жыл бұрын
thought I was the only one lmfao
@babi95006 ай бұрын
2:00 man after so many vids you're the only one who answered my question thanks sm
@angelahuynh50744 жыл бұрын
We just learned about linear dependence this week and your explanations make it easier to understand :-)
@quinn4856 Жыл бұрын
I watched this video the night before my first linear algebra exam and now I'm watching it again the night before my linear algebra final lol
@michael6546 ай бұрын
I watched this video when I was 5 years old. Now I won the Nobel prize in math.
@rohhanbhardwaj6 ай бұрын
@@michael654 whattttttttttt
@yzyszn37742 ай бұрын
@@rohhanbhardwaj true story, i was the nobel prize
@GF-wf8rt2 жыл бұрын
Very good video. You don’t explain it using annoying theorem lingo. Quick and easy ways to check a span. Thanks!
@abbycash4 жыл бұрын
THANK YOU. Very helpful and easy to understand
@0.p_tlt935Ай бұрын
Ur the goat bro, clean simple explanation n it rlly makes sense
@ZainMorshedАй бұрын
didn't understand linear indepdence until i watched this video. thanks!
@danielprive64 жыл бұрын
Archer's teaching Linear Algebra now
@yusufmoola64713 жыл бұрын
or u can find the determinant and see that it equals zero so its linear dependent.
@toddchavez46103 жыл бұрын
My go to method
@respectpartii6302 Жыл бұрын
only works in square matrices, so this is a most general method presented in the video.
@spookybrojo71863 жыл бұрын
This really breaks it down, thanks!
@stepbystepscience6 ай бұрын
Your definition at the beginning of the video was very good, most other sources make it way too complicated.
@estherabass7389 Жыл бұрын
thank you so much! i love how straightforward this was!
@drealslimshady3 жыл бұрын
what if there are more elements in each vector than vectors (ex. a 4x3 matrix) would that also mean it is automatically linearly dependent?
@Lucas-yh5zz3 жыл бұрын
Hi! not necessarily, for example if you had these two vectors: (1,3,5,7) and (2,6,10,14), you can see they are not linearly independant as the second one is clearly two times the first one. pd:I know it's been 8 months, so you probably don't need the answer anymore, but other people may.
@liveforkillarpit2 жыл бұрын
@@Lucas-yh5zz its after 1year helps me . thanks
@thienphan17646 ай бұрын
Really appreciate the videos, can't thank you enough 🙏🙏
@jqwert9092 ай бұрын
can you not do two vectors cross together then dot with the third verctor and if it equals 0 than linearly dependent?
@ok-sj7bx7 ай бұрын
What if there are more variables in the vectors than the matrix has columns? For example vectors v_1 = (1,2,3) and vector v_2 (2,3,4) would come out (just play along) and have one free variable but that would still mean they have two "stable" variables? Which technically would be enough to form a plane? Or would it still shrink in size and form a line, since that would still mean there is a solution other than 0 for the coefficients c_1*v_1+c_2*v_2=0-vector.
@ok-sj7bx7 ай бұрын
Nvm literally the last comment responded to this.
@Gabriel-dm2ru Жыл бұрын
THANK YOU YOU ARE A LIFE SAVER
@Coolpanda774549 ай бұрын
question: according to the last example, is the opposite also guaranteed? If we have more entries in each vector than the number of total vectors, does that make it linearly independent?
@monsieurLDN8 ай бұрын
No only if every column has a pivot. Pets say that you have a set of 2 vectors with 3 entries. If the two vectors are multiples (which is the same as overlapping) the set would be lineary dependent
@ok-sj7bx7 ай бұрын
@@monsieurLDN Lol check the newest comment, I literally asked the exact same question and then read one comment down and you answered my question. Thanks!
@cyrrender Жыл бұрын
nah jit was goin thru puberty in this video 😭 jokes aside thx for the great explanation!
@EricAndStuff27 күн бұрын
You’re the GOAT
@jakeyounan29802 ай бұрын
The description about the zero vector is wrong according to my homework
@definitelynottigerwhitten586510 ай бұрын
Thanks brofessor!
@thabelangncube7539 Жыл бұрын
can you show us how you went about the row reduction, am kinda getting some weird values
@gattinocurioso6852 Жыл бұрын
mee to
@huitzilopochtli28723 жыл бұрын
Thank you so much!
@cmdrbobert98623 жыл бұрын
I don't really grasp how you know what you're doing to row by using c1, c2, and c3.
@thehamsterarmy23803 жыл бұрын
He's solving for the pivots variables in each row by using the columns in that row
@matteos.34382 жыл бұрын
your comment about the theorem that states if a set contains the zero vector makes it linearly independent is incorrect - it's the other way around because if one of the vectors were zero then we would have a dependence relation
@monsieurLDN8 ай бұрын
Doesn't it depend? you can only use the trivial solution of 0 to represent a 0-vector
@monsieurLDN8 ай бұрын
Nvm
@GB2G9 ай бұрын
Thank you
@SpeaksYourWord Жыл бұрын
1:54 wtf is that supposed to mean
@charliefleming3859 Жыл бұрын
great stuff
@williamhogrider4136 Жыл бұрын
Thnx man ;)
@healthstellar87013 жыл бұрын
5:54 nice
@chrisdeluisa66482 жыл бұрын
9:00
@ASD-6132 Жыл бұрын
@@chrisdeluisa6648 6:09
@cagataytekin6372 Жыл бұрын
hoca aldin bizi sirtina gidiyoruz
@xeeshankhan7252 жыл бұрын
You are going to help me pass my Exam >> XD
@GenuinePeacefulTimes Жыл бұрын
having only a trivial solution defines linear independence. you said we don't want that at the 3:00 mark. lmao you are wrong
@user-vw8ow3pm6u Жыл бұрын
Okay so why did my professor make it so complicated for no reason
@crazygreekpvp66357 ай бұрын
GOAT
@Sam-iy4in2 жыл бұрын
king
@Adel508Tkd2 ай бұрын
buddy, explain it to me like u would explain it to a 7 year old.
@Im_bjay5 ай бұрын
Are you teaching those who are Learning it for the first time or are you lecturing a pro😒.
@jameshindle40002 жыл бұрын
Phattest gg's
@PURPLECUT3 жыл бұрын
some people know how to teach some don't and this guy does not.
@thehamsterarmy23803 жыл бұрын
honestly it made a lot of sense
@EigenA2 жыл бұрын
I thought he did a good job. Maybe we should look at ourselves before commenting on the qualities of others.