Question: 1. Suppose that V1, V2, . .. , V, are subspaces of R. Show that the intersection of V1, V2, . .. , V. (symbol:

1. Suppose that V1, V2, . .. , V, are subspaces of R". Show that the intersection of V1, V2, . .. , V. (symbol: _Vi) is also a subspace of R". (The intersection means all the vectors of R" which are in V, for all i = 1, ., r.) Is the union Vi U V2 a subspece of "? 2. How many subspaces can R3 have? means +

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