If U is a subspace of V then W=V-U (a vector x that belongs to W can not belong to U) W also is a subspace. (Proof or counterexample)© BrainMass Inc. brainmass.com November 24, 2022, 11:52 am ad1c9bdddf
Please see the attached file.
If U is a subspace of V then V-U = also is a ...
The solution applies a simple vector math and the definition of subspace to prove/disprove the statement.