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yoss15
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How do you show that a set of vectors from the basis of R^3?
 2 years ago
 2 years ago
yoss15 Group Title
How do you show that a set of vectors from the basis of R^3?
 2 years ago
 2 years ago

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yoss15 Group TitleBest ResponseYou've already chosen the best response.0
The questions specifically asks about v1=[1, 0, 3] v2 = [1, 1, 0] and v3= [0, 1, 2]
 2 years ago

yoss15 Group TitleBest ResponseYou've already chosen the best response.0
I know that it must be a spanning set and linearly independent and I know how to show it is linearly independent, I just don't know how to show it is a spanning set.
 2 years ago

yoss15 Group TitleBest ResponseYou've already chosen the best response.0
Sorry, that is above my head, we haven't done determinants
 2 years ago

mathTalk Group TitleBest ResponseYou've already chosen the best response.1
Take any point in R3 say (15, 14,3) k1v1+k2v2+k3v3 = (15,14,3) k1[1, 0, 3]+ k2[1, 1, 0] + k3[0, 1, 2] (k1k2,k2+k3,3k1+ 2k3) = ( 15,14,3) solve for k1 k2 k3 you must get them
 2 years ago

yoss15 Group TitleBest ResponseYou've already chosen the best response.0
OK I think I get that
 2 years ago

mathTalk Group TitleBest ResponseYou've already chosen the best response.1
k1 k2 k3 are scalars ?
 2 years ago
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