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Consider the linear system given as follows: c1x + 2y + 7z = b1 c1x +...

Consider the linear system given as follows:
c1x + 2y + 7z = b1
c1x + c1y + 4z = b2
c1x + c1y + c1z = b3
In this linear system we have an unknown constant named c1. Find out the three values of c1 for which this linear system will fail to have exactly three pivots.

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