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anonymous
 5 years ago
Determine whether or not the given vectors in R^n form a basis for R^n:
v1=(0,7,3)
v2=(0,5,4)
v3=(0,5,10)
anonymous
 5 years ago
Determine whether or not the given vectors in R^n form a basis for R^n: v1=(0,7,3) v2=(0,5,4) v3=(0,5,10)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No they don't. I assume you meant that this "n" number of vectors is supposed to form a basis for R^n. n=3 and these vectors do not span R^3 because you can't define any vector in R^3 using these vectors. Any vector of the form <n 0 0> (where n is any number) could not be written as a sum of these 3 given vectors.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0because none of these vectors has a component in the "xdirection" or "i direction" (when using a standard xyz or ijk coordinate system.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thanks a lot. I've been having a lot of trouble with this unit on vector spaces. Linear algebra is really a tough subject in my opinion.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah it is kind of abstract sometimes
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