If [tex]U_1, U_2, U_3,[/tex] are subspaces of V (over fields R and/or C), is the addition of the subspaces commutative and associative?(adsbygoogle = window.adsbygoogle || []).push({});

To me it seems rather trivial .. Since their summation is simply the set of all possible sums of the elements of [tex]U_1, U_2, U_3[/tex], and the elements themselves are associative and commutative, then so must be their subspaces and their sum.

Seems too easy to me ... I must be missing something ,,

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# Sums of Subspaces

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