Prove that if v and w are both subspaces of the vector space u, then their intersection is also a subspace of u. write a formal proof and write legibly! show all steps. linear algebra.

 The proof is done below.

Step-by-step explanation:  We are given to prove the following statement :

If V and W are both sub spaces of the vector space U, then their intersection is also a subspace of U.

According to the definition of a subspace, we can say that {0} belongs to both V and W.

So, {0} will also belong to the intersection of V and W.

That is, {0} ∈ V ∩ W.

Now, let a, b are scalars and v, w∈ V ∩ W.

So, we get

v, w ∈ V  and  v, w ∈ W.

Since V and W are sub spaces of V and W, so we get

av + bw ∈ V  and  av + bw ∈ W.

Therefore, av + bw ∈ V ∩ W.

Thus, V ∩ W is also a subspace of U.

Hence proved.

from the sentence, "tomorrow morning, akiko will arrive an hour late" depicts a third person perspective because it doesn't use any pronoun to replace akiko, the subject of the sentence, and it is in singular form since akiko is only one person.

493 would be the correct answer

step-by-step explanation: