Determine if the Functions are Linearly Independent or Linearly Dependent

[@skullfreak102]

I like how my professor didnt explain at all how to do this lol. Thanks, Math Sorcerer XD!

[@TheMathSorcerer]

👍

[@505steel]

Same! Thanks Math Sorcerer!!

[@TheMathSorcerer]

You are welcome!

[@Ana_leaf]

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?

[@candicerusso7110]

I had to refresh on the concept of linear independence/dependence during my biomedical engineering class. Thank you for this!

[@TheMathSorcerer]

np:)

[@typicallearner5528]

Thank you explanation was really clear. Do you have any videos about damped motion DE?

[@TheMathSorcerer]

Not yet!

[@sayanjitb]

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!

[@abhishek1978]

I was stuck at this particular type of problem, thanks for helping out

[@TheMathSorcerer]

Glad I could help!

[@kaustabhbasu867]

Thank you. You solved my problem.

[@KarkiJi726]

Thank you so much . you explained it very easily

[@TheMathSorcerer]

you are welcome!

[@zahran00wolf]

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

[@arthurmolina9426]

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?

[@TheMathSorcerer]

2 or more, same thing, so it works for 2, 3, 4, etc

[@VinniTech1]

Show that The functions x,x2,x3 are linearly independent. ..pls.solvr it

[@steveying1305]

super helpful

[@zeevlogs4250]

Hey Thank You Very Much

[@TheMathSorcerer]

Welcome !

[@zoegwynn]

thank you !

[@TheMathSorcerer]

You are welcome😀

[@zahran00wolf]

anyway well done good work .

[@zahran00wolf]

is this topic related to DE course?

[@diegoarana5862]

well you didn't teach anything wrong but this was a pretty terrible example

[@ShawkyJames]

Ikr this is literally a pointless example lmao

[@hellmuth26]

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".