SOLUTION: Hi, is the following set are bases for R^3? a) S= {[1,2,0],[0,1,-1]} need help asap if possible thanks

SOLUTION: Hi, is the following set are bases for R^3? a) S= {[1,2,0],[0,1,-1]} need help asap if possible thanks

Algebra.Com

Question 369372: Hi,
is the following set are bases for R^3?
a) S= {[1,2,0],[0,1,-1]}
need help asap if possible
thanks
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
No. Any set of 2 vectors in R^3 is a linearly independent, but not a spanning set, for R^3. So the given set S cannot be a basis for R^3.
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