6. ! Write down the relation matrix of the abelian group G specified as follows. G - {x, y, z, w | 3x + 3y + 4z – w, 6x + 4y + 13z - 7uw, 2y – 4z + 4w – 0, 9x + 9y + 13z – 4w} . Reduce this matrix using elementary integer row and column operations, and hence write G as a direct sum of cyclic groups.

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