Question: Prove or give a counterexample: if U, U2, W are subspaces of V such that U + W = U + W then U

Suppose U = {(x, y, x + y.x- y, 2x) F5 : x,y F}. Find a subspace W of F5 such that F5 = UW.

Prove or give a counterexample: if U, U2, W are subspaces of V such that U + W = U + W then U = U. Suppose U = {(x, x, y, y) F4 : x, y e F}. Find a subspace W of F4 such that F4 = U W. 17 Suppose U = {(x, y, x + y.x- y, 2x) F5 : x,y F}. Find a subspace W of F5 such that F5 = UW.

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