hi guys, i have no idea of how to do the following question, could u give some ideas?(adsbygoogle = window.adsbygoogle || []).push({});

Q:determine whether or not the given set forms a basis for the indicated subspace

{(1,-1,0),(0,1,-1)}for the subspace of R^3 consisting of all (x,y,z) such that x+y+z=0

how should i start?

i know the vectors are linearly independent, and then i think i need to show they span. but doesn't it require 3 vectors to prove span in R^3?

or maybe the (x,y,z) such that x+y+z=0 can be used somewhere? I know this will form a plane, but how should i say this?

Thank you.

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# Basis for the indicated subspace

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