Prove that a subset H of a vectorspace V is a subspace ofV if and only if the fo

ID: 2939951 • Letter: P

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Prove that a subset H of a vectorspace V is a subspace ofV if and only if the following two conditions hold:
(a) 0V belongsto H, where0V denotes the zero vectorin V ;
(b) For every two vectors x,y belongsto H and every a belongsto R, thenax + y belongsto H also holds. Prove that a subset H of a vectorspace V is a subspace ofV if and only if the following two conditions hold:
(a) 0V belongsto H, where0V denotes the zero vectorin V ;
(b) For every two vectors x,y belongsto H and every a belongsto R, thenax + y belongsto H also holds.

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Prove that a subset H of a vectorspace V is a subspace ofV if and only if the fo

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