Determine if the Functions are Linearly Independent or Linearly Dependent

How to determine if three functions are linearly independent or linearly dependent using the definition.

[skullfreak]

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

[candicerusso]

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

[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?

[abhishek]

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

[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!

[typicallearner]

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

[KarkiJi]

Thank you so much . you explained it very easily

[zahranwolf]

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

[VinniTech]

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

[arthurmolina]

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?

[diegoarana]

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

[hellmuth]

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".