Hello,

I have an assignment due tomorrow, and Im stuck at this problem:

Let V be a vector space over any field F, and W1 and W2 be two subspaces of V.

b) Give examples for V, W1, W2 such that W1 U W2 is NOT a subspace of V.

Any ideas?

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- Sep 20th 2009, 03:55 PMLinearAlgsubset U subset is NOT subspace of Superset?
Hello,

I have an assignment due tomorrow, and Im stuck at this problem:

Let V be a vector space over any field F, and W1 and W2 be two subspaces of V.

b) Give examples for V, W1, W2 such that W1 U W2 is NOT a subspace of V.

Any ideas? - Sep 20th 2009, 04:17 PMBruno J.
In $\displaystyle \mathbb{R}^2$ : $\displaystyle span\{(1,0)\} \cup span\{(0,1)\}$ is not a subspace - for instance it does not contain $\displaystyle (1,0)+(0,1)$