Question

A[x1x2=0] Is this an example of empty set? Why?
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Answer 1

Answer:

S = {(x1,x2)T |x1x2 = 0} No, this is not a subspace. Every element of S has at least one component equal to 0. The set is closed under scalar multiplication, but not under addition. For example, both (1,0)T and (0,1)T are elements of S, but their sum is not.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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Answer: S = {(x1,x2)T |x1x2 = 0} No, this is not a subspace. Every element of S has at least one component equal to 0. The set is closed under scalar multiplication, but not under addition.