Question: Please help me with these 2 problems, thank you!!! Question 7. Prove or disprove the following statement: if U, V, W are subspaces of a

Please help me with these 2 problems, thank you!!!

Question 7. Prove or disprove the following statement: if U, V, W are subspaces of a vector space, then ( U + V ) n W = (Un w) + (VnW). Question 8. Let U1, U2, U3 be subspaces of a vector space such that Uin U; = 0 for i # j. Is it true that the subspace U1 + U2 + U3 equals U1 0 U2 @ U3? Justify your

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