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either -2 or 1-21not-2

Answer :

BSolution :

for no solution or infinitely many solutions <br> `|{:(alpha ,,-1,,-1),(1,,-alpha,,-1),(1,,-1,,-alpha):}|=0` <br> `" or " alpha(alpha^(2) -1)-1(alpha-1)+(1-alpha)=0` <br> `" or " alpha(alpha^(2)-1) -2alpha +2=0` <br> `" or " alpha(alpha -1) (alpha+1) -2(alpha -1)=0` <br> `" or " (alpha-1)(alpha^(2) +alpha -2) =0` <br> `" or " (alpha -1) (alpha+2)(alpha -1) =0` <br> `" or " (alpha-1)^(2)(alpha+2)=0` <br> `" or " alpha=1 ,1,-2` <br> But for `alpha =1` there are infinite solution. when `alpha=-2` we have <br> `-2x -y-z=-3` <br> `x+2y -z=-3` <br> `x-y +2z=-3` <br> Adding we get 0=-9 which is not true . Hence there is no solution.**Revision of limits**

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