SOLUTION: If U and V are subsets of Rn,then the set U+V is defined by
U+V={ x:x=u+v, u in U and v in V}.
Prove that if U and V are subspaces of Rn, then U+V is a subspace of Rn.
Algebra ->
College
-> Linear Algebra
-> SOLUTION: If U and V are subsets of Rn,then the set U+V is defined by
U+V={ x:x=u+v, u in U and v in V}.
Prove that if U and V are subspaces of Rn, then U+V is a subspace of Rn.
Log On
Question 29491: If U and V are subsets of Rn,then the set U+V is defined by
U+V={ x:x=u+v, u in U and v in V}.
Prove that if U and V are subspaces of Rn, then U+V is a subspace of Rn. Answer by khwang(438) (Show Source):
(