Q) Find the dimension of the subspace of K^n that is spanned by the sequence of vectors (1,1,0,0), (0,1,0,1), (1,0,0,-1), (0,0,1,0), (1,0,1,-1), (0,2,1,2) Find a subsequence that is a basis of this subspace.
My attempt:
I sifted the sequence of vectors to get the subsequence (1,1,0,0), (0,1,0,1), (0,0,1,0). Therefore the dimension is three and this subsequence forms a basis of this subspace
Am I correct?