SOLUTION: let V be a subspace and A and B are subsets of V.Determine which of the following are subspaces of V
1)A U B
2)A intersect B
3)A'
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-> SOLUTION: let V be a subspace and A and B are subsets of V.Determine which of the following are subspaces of V
1)A U B
2)A intersect B
3)A'
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Question 892172: let V be a subspace and A and B are subsets of V.Determine which of the following are subspaces of V
1)A U B
2)A intersect B
3)A' Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! 1) The union contains all members of A and B both of which are in V. It is a subspace.
2) The intersection contains all common members of A and B. By definition, both A and B have the {0} vector in common, at least, so the intersection always has at least one member. It is a subspace.
3) The complement of A is all members not in A that belong to V. It is a subspace.
