Answer to Question #21718 in Linear Algebra for subha

Question

Find the dimension of the subspace spanned by the vectors (1,1,1),(-1,-1,-1) in v3(R).

Answer 1

We use two nonzero vectors to generate subspace, sodimension can be equal to 1 or 2. but (-1,-1,-1)=-1* (1,1,1) so our vectors are linear
dependent hence dimension can't be 2. Thus, we're left with only one possibility: dimension of
subspace is equal to 1