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Let W be the set of all vectors [[a],[b],[c]]   such that a + b + c > 2....

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Let W be the set of all vectors [[a],[b],[c]]

 

such that a + b + c > 2.


Determine if W is a subspace of R^3 and check all correct answers below.

A. W is a not vector space because it is not closed under the addition.
B. W is not a vector space because it is not closed under scalar multiplication.
C. W is not a vector space because it does not have a zero element.
D. W is a vector space because it is the solution set of a homogeneous linear system.

 

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C. W is not a vector space because it does not have a zero element.

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