Find the dimension of the subspace spanned by the vectors (1,1,1),(-1,-1,-1) in v3(R).
1
Expert's answer
2013-01-09T08:29:50-0500
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
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