What if the functions are trigonometric? (so that it won't work as a polynomial) Should we just say that we have to SHOW that they are independent? And how would we do that?
This boils down to a quadratic equation and how did u able to conclude that all coefficients would be zero. Shouldn't you solve for x in this case as it's a degree 2 polynomial and there might be 2 real roots. Can u explain it!
Does this method apply to any problem where you have to prove if 2 or more functions are linearly independent or linearly dependent? Or does it only apply to problems where you have to prove 3 functions are linearly independent or linearly dependent?
wish people would stop saying "sub" every time. it basically doubles the amount of words you're saying, i can't stand it. like no ones going to know what you're talking about if you just say "c1".
![How to Determine if a Set of Vectors is Linearly Independent [Passing Linear Algebra]](http://i.ytimg.com/vi/L1ErFhSxIew/mqdefault.jpg)
I like how my professor didnt explain at all how to do this lol. Thanks, Math Sorcerer XD!
👍
Same! Thanks Math Sorcerer!!
You are welcome!
I had to refresh on the concept of linear independence/dependence during my biomedical engineering class. Thank you for this!
np:)
What if the functions are trigonometric? (so that it won't work as a polynomial) Should we just say that we have to SHOW that they are independent? And how would we do that?
I was stuck at this particular type of problem, thanks for helping out
Glad I could help!
i suggest that in 2:50 you divide by x or x2 whatever its better than making the right hand side added to either 0x2 or 0x
Thank you explanation was really clear. Do you have any videos about damped motion DE?
Not yet!
This boils down to a quadratic equation and how did u able to conclude that all coefficients would be zero. Shouldn't you solve for x in this case as it's a degree 2 polynomial and there might be 2 real roots. Can u explain it!
Thank you. You solved my problem.
Thank you so much . you explained it very easily
you are welcome!
Does this method apply to any problem where you have to prove if 2 or more functions are linearly independent or linearly dependent? Or does it only apply to problems where you have to prove 3 functions are linearly independent or linearly dependent?
2 or more, same thing, so it works for 2, 3, 4, etc
Show that The functions x,x2,x3 are linearly independent. ..pls.solvr it
super helpful
Hey Thank You Very Much
Welcome !
thank you !
You are welcome😀
anyway well done good work .
is this topic related to DE course?
well you didn't teach anything wrong but this was a pretty terrible example
Ikr this is literally a pointless example lmao
wish people would stop saying "sub" every time. it basically doubles the amount of words you're saying, i can't stand it. like no ones going to know what you're talking about if you just say "c1".