Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Mathematics Matrices

Which of the following is not a subspace of the given vector space?

1
W = {(0, x, 0): x ≠ 0 , x ∈ R} in R3(R)
2
Zero vector in R
3
W = {(x, x, x); x ∈ R} in R3(R) 
4
None of these 
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