- #1

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I know you have to make sure it fits the definition of a subspace, i.e prove

u+v € W

and alpha(v) € W

but im not sure how you would do this using √11x - √13z=0 ?

- Thread starter HappyN
- Start date

- #1

- 16

- 0

I know you have to make sure it fits the definition of a subspace, i.e prove

u+v € W

and alpha(v) € W

but im not sure how you would do this using √11x - √13z=0 ?

- #2

chiro

Science Advisor

- 4,790

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What is the definition of addition and scalar multiplication in your vector space?

I know you have to make sure it fits the definition of a subspace, i.e prove

u+v € W

and alpha(v) € W

but im not sure how you would do this using √11x - √13z=0 ?

- #3

- 16

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Do you mean the 7 axioms?What is the definition of addition and scalar multiplication in your vector space?

like: v+w=w+v for all v,w € V

(v+w)+z=v+(w+z) etc?

- #4

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In particular check that the sum of two elements in the subspace yield another element in the subspace and that the scalar multiple of an element in the subspace yields another element in the subspace. The rest of the axioms will then follow automatically.

- #5

chiro

Science Advisor

- 4,790

- 132

Yep that's pretty much what I was trying to get the OP to think about.

In particular check that the sum of two elements in the subspace yield another element in the subspace and that the scalar multiple of an element in the subspace yields another element in the subspace. The rest of the axioms will then follow automatically.

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