For an irreducible polynomial p(X) = 1+X + X² € F[X] consider F4 generated by p(X). Find x1, x2 E F, such that [10] × x1 + [11] × x2 = [01] (01] x x1 + [01] x x2 = [10]. Express x1 and x2 in vector form of length 2, e.g., (00].

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