Question: I am currently work on this question 1) In an example of a system of three linear equations with three unknowns, show that the systemis

I am currently work on this question

1) In an example of a system of three linear equations with three unknowns, show that the systemis inconsistent if the determinant of the coefficient matrix equals zero.

If the determinate of the maxtrix is zero, I know that it can produce BOTH a consistant system with infinate many solution or an inconsistent system with no solutions. However the question asks to show that the system is inconsistent with a det of zero. In answer this, should I include an example of a consistent system that also has a determanat of zero? I am confused as when I use Crammer's Rule and a consistent system with infinate solutions produces an underfinded answer.

Could you please provide an example answer to the question above.

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