Question: (a) Give an example of a 4-dimensional vector space V other than R. (b) Give an example of two unequal, 3-dimensional subspaces W1 and W2


(a) Give an example of a 4-dimensional vector space V other than R. (b) Give an example of two unequal, 3-dimensional subspaces W1 and W2 of your vector space V from part (a). (c) Using your examples, show that V = W1 + W2 and dim(W, n W2) = 2.Let V be an n-dimensional vector space. Let Wj and W2 be unequal subspaces of V, each of dimension n - 1. Prove that V = W1 + W2 and dim(W, n W2) = n - 2
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