How to find out if a set of vectors are linearly independent? An example.

What is linear independence? How to find out of a set of vectors are linearly independent? In this video we'll go through an example.

[slimxshady]

You were explaining well, and then for the example you just skipped like all the math and told us the answer..

[hockeyplayerU]

thank you very much, now I am a small step closer becoming an Engineer.

[joyzhou]

Yes, in our class we called it augmented matrix. The previous version of the textbook called it auxiliary, they refer to the same thing.

[theawesomegamer]

Would have been better if you went through the row reducing.

[mberu]

where did you get the -2a3 can you explain that part insteaed of just writing it out

[grilledpikachu]

you have a very beautiful hand-writing 💗

[leearmour]

Thank you for how you made this plan by showing the difference by showing a dependent problem...👍👍👍

[timosirkka]

I don't know how to get a1=-2a3 from the augmented matrix. Sorry but this did not help me at all. Please don't skip steps when doing an example.

[dradexx]

She skipped alot of steps but conveyed the most important idea.

[SebastianGomez-whhf]

I'm so confused because in the end you say they're not linearly dependent but then immediately after you say that they are.

[Schytheron]

Thank you! Finally a simple, straight to the point, easy to understand explanation of this!

[brenmclean]

When you create the matrix, why is it column form and not row?

[habiboorrahman]

loved the video till you skipped alot of the steps :(

[ahaielpatt]

i got a1=-2a2 insteal of a1=-2a3 but still got the same result..

[Darieee]

Wow, is that a 3+B pencil ? Nice video, thanks !

[rf]

You can also use gauss elimination method for this .

[ANGELFORGOD]

so how did you put a1 = -2a3 can u explain that to ?

[JossinJax]

Soooo in other words, the only solution has to be that all the "a"s are zero if the system is linearly independent? Right?

[mariaarshad]

Will you please send me the explanation of example matrix ???

[babi]

how does all scalars needing to be 0 show linear independence?