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 ,,

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Sums of Subspaces

Loading...

Similar Threads - Sums Subspaces | Date |
---|---|

I Prove that V is the internal direct sum of two subspaces | Feb 6, 2017 |

Showing that V is a direct sum of two subspaces | Apr 8, 2014 |

Is a subspace the direct sum of all its intersections with a partition of the basis? | May 25, 2012 |

Union and Sum of Subspaces | Apr 20, 2011 |

Prove sum of two subspaces is R^3 | Jan 31, 2010 |

**Physics Forums - The Fusion of Science and Community**