since v1 and v2 span R^2, any linear combination of them can be added, and the new set of vectors will also span r^2. It's just not a minimal spanning set.
Ya got me on the difference between 2D space and full space. Guess you'll have to go to google after all.
It is given that the vectors v1=[ 1 0]^T and v2 = [ 0 1]^T span the full two-dimensional space R^2(R - set of real numbers)
Also it is given that the vectors v1=[1 0]^T , v2 = [0 1]^T and v3 = [4 7]^T , span the full space R^2.
Could you please clarify the difference between ful two-dimensional space R^2 and full space R^2?
Thank you!
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