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Is the subset w = (x, y, z) ⊂ r 3 a vector subspace of r 3 ? explain why or why not?

Is the subset w = (x, y, z) ⊂ r 3 a vector subspace of r 3 ? explain why or why not?
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Is the subset w = (x, y, z) ⊂ r 3 a vector subspace of r 3 ? explain why or why not?

asked
User Rig Veda
by
8.4k points

1 Answer

4 votes
No,
W is not a subspace of
\mathbb R^3 because it doesn't contain the zero vector.
answered
User Ehsan Kia
by
7.9k points
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