use the Gaussian Elimination method to find the value of a so that the system of equations.
x+(a+4)y+(4a+2) z=0
2x+3ay+(3a+4) z=0
x+2(a+1)y+(3a+4) z=0
has (i) a unique solution ;
(ii) infinitely many solutions.
Further, find the solution set in each case.
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