For a real number, alpha if the system ...

For a real number, `alpha` if the system
`[{:(,1,alpha,alpha^(2)),(,alpha,1,alpha),(,alpha^(2),alpha,1):}] [{:(,x),(,y),(,z):}]=[{:(,1),(,-1),(,1):}]`
of linear equations has infinitely many solutions then `1+alpha+alpha^(2)`=

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