if i am asked to fin a basis for the subspace V, which is spanned by ( 1 1 2) ( 2 -1 1) (1 -2 -1)....(adsbygoogle = window.adsbygoogle || []).push({});

i put them into a matrix system

1 1 2

2 -1 1

1 -2 -1

now after performing elementart operations i get

1 1 2

0 -3 -3

0 -3 -3

so since R3 and R2 are the same, dimV=2, my question is if i am asked to give a basis, should i give ( 1 1 2) (0 -3 -3) or should i return to the original vectors given and answer (1 1 2 ) (2 -1 1) or perhaps something else,, is ther a more correct answer if i am asked to give a basis

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# Homework Help: Finding a basis

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