(c) The set union UUV is not a subspace of W unless one of U or V is contained in the other.

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I only need help on part (c).  I was able to figure out part (a) on my own.

Section 3.2: 19ac
Let U and V be subspaces of W. Use the subspace test to
prove
the
following.
(a) The intersection UnV is a subspace of W.
(c) The set union UUV is not a subspace of W unless one of U or V is contained in the
other.
Transcribed Image Text:Section 3.2: 19ac Let U and V be subspaces of W. Use the subspace test to prove the following. (a) The intersection UnV is a subspace of W. (c) The set union UUV is not a subspace of W unless one of U or V is contained in the other.
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