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Sep
12
comment How do I determine linear independence when I don't know the values of the vectors?
Oh I see now. That makes much more sense, thank you!
Sep
12
comment How do I determine linear independence when I don't know the values of the vectors?
@EuYu I feel like I'm missing the obvious. I don't see how to prove that they are NOT linear combinations. As far as finding a combination goes, I don't know how to prove dependence with just variables. You've pretty much narrowed it down for me, but I still don't get it.
Sep
11
comment How do I determine linear independence when I don't know the values of the vectors?
@EuYu, The coefficients of v2 and v3 are linear combinations of one another. Thus, the family is not independent?
Sep
11
comment How do I determine linear independence when I don't know the values of the vectors?
I think you are making typos that confused me, sorry for the confusion.
Sep
11
comment How do I determine linear independence when I don't know the values of the vectors?
I'm a bit confused as there are no a1, a2, a3 or a4.
Sep
11
comment How do I determine linear independence when I don't know the values of the vectors?
If a = b = c = 0, wouldn't the coefficients just be 0? Did you mean the sum of the vectors in a family with different constants = 0?
Sep
11
comment How do I determine linear independence when I don't know the values of the vectors?
Can you link me to information about this equation? I have not heard of this before. I'm a bit lost as to where the incrementing constants are coming from.
Sep
11
comment How do I determine linear independence when I don't know the values of the vectors?
The first set given is linearly independent, not dependent--is that what you meant?
Sep
11
awarded  Student
Sep
11
asked How do I determine linear independence when I don't know the values of the vectors?
Sep
11
comment How to solve / set up three equations three unknowns with a matrix?
I got the same answer! Thank you!
Sep
11
asked How to solve / set up three equations three unknowns with a matrix?