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10 Nov 2019
Let V and W be subspaces of R^n. (a) Prove that V W is a subspace of R^n. (b) Give an example of a pair of subspaces V, W of R^2 such that V W is not a subspace of R^2. Show that your example works. (c) Prove that if V W is a subspace of R^n, then V W or W V.
Let V and W be subspaces of R^n. (a) Prove that V W is a subspace of R^n. (b) Give an example of a pair of subspaces V, W of R^2 such that V W is not a subspace of R^2. Show that your example works. (c) Prove that if V W is a subspace of R^n, then V W or W V.
Deanna HettingerLv2
13 Aug 2019