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Yeah, forgot to mention that all vectors in the set are assumed to be non-zero

but...??

Could you explain how you you get that first statement?

\[V _{i}^{T} * V _{j}\] = 0
means that \[V _{i}*V _{j}\] = 0?

"set a1v1 + a2v2 + a3v3 = zero vector and consider (zerovector)^t * zerovector

yup

Great, I just realized I have a frickin typo

they want me to prove linear 'independence' not dependence
@#$!

this is a linearly dependent system .. if you have i not equal to j and v_i*v_j = 0

v_i*v_j for all i not equal to j

thanks for the help anyways man, I appreciate it

What is the definition of linear dependence?

Or independence, either one.

okay

I'm sorry, v_1, not a_1

We should get
\[a_1 (v_1^T v_1) = 0\]

okay, yup

length squared.... :)

Well, it can't be zero, right?

Indeed. So, what must that mean?

a = 0

All the a's are zero, therefore the trivial solution is the only solution

There ya go :)

Dude, thanks a million

No problem at all, excellent question.

Well, whatever, you know, we're on a math forum, so let's just say my thanks increases without bound

Hahaha good stuff. Good luck with the rest of your work, we'll help you out if you need it.

Thanks again!