Consider the linear system
For which values of k does this system have one solution?
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det(A)`!=0 ` if (k-2)(k+1)`!=0 `
so rank of A =3
and rank of augument matrix =3 for all values of k.
if rank (A)=rank(A|b)=3 ,then system has unique solution .
system has unique solution for all values of k except -1,2 .
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