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True or False 1. A subset H of Rn must be a sub space of Rn...

True or False
1. A subset H of Rn must be a sub space of Rn if the zero vector is in H
2. R2 is a subspace of R3
3. Ker T is a shbspace of Rn
4. The range of T is a subspace of Rn
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