How do I determine if a set is a subspace?

In summary, the conversation is about tackling problem #6 and ensuring understanding of how to show something is a subspace by having the zero vector and being closed under scalar multiplication and addition. The person is seeking clarification and confirmation of their logic.
  • #1
Shackleford
1,656
2
I'm not sure how to tackle #6.

I want to make sure my logic about the rest is correct. There's still a little fuzziness on how to show something is a subspace. I know it has to have the zero vector and be closed under scalar multiplication and addition.

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  • #2
What is your question? Problem 6, for example, tells you do do a specific thing. Have you done it?
 
  • #3
HallsofIvy said:
What is your question? Problem 6, for example, tells you do do a specific thing. Have you done it?

I'm not sure how to tackle #6.

I want to make sure my logic about the rest is correct. There's still a little fuzziness on how to show something is a subspace. I know it has to have the zero vector and be closed under scalar multiplication and addition.

...
 

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