Question

Let U and W be two distinct subspaces of an n-dimensional vcctor space V and

dimU-dimW=n L Then the dim (U ^W) is: ........

(a) n-2 (b) n

(c) n-4 (d) n-3​

Answer 1

Answer:

Step-by-step explanation:

(c1c2)x = c1(c2x). 2. (c1 + c2)x = c1x + c2x. 3. c1(x + y) = c1x + c1y. 4. 1 · x = x ... and let. W ⊆ V . W is a subspace if W itself is a vector space under the same field F ... Let V be n-dimensional (n ∈ N) ... B is a basis iff B is independent and |B| = n ... W a subspace of V. Then, W is also finite dimensional and indeed, dim(W) ≤.