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Let R be the set of all real number and ...

Let R be the set of all real number and `R^2={(x_1,x_2:x_1 si R ,x_2 si R} . Then which one of the following is a subspace of `R^2` over R?

A

`{(x_1,x_2:x_1 gt 0 ,x_2 gt 0}`

B

`{(x_1,x_2:x_1 si R ,x_2 gt 0}`

C

`{(x_1,x_2:x_1 lt 0 ,x_2 lt0}`

D

`{(x_1,0:x_1 si R }`

Text Solution

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The correct Answer is:
D
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