Question: 6. [5 marks] Write down the relation matrix of the abelian group G specied as follows. G {$,y,z,w | 3x+3y+4z w,6.1:+4y+ 13: 7w,2y4z+4w {),9:r+99+ 13:

6. [5 marks] Write down the relation matrix of the abelian group G specied as follows. G {$,y,z,w | 3x+3y+4z w,6.1:+4y+ 13: 7w,2y4z+4w {),9:r+99+ 13: 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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