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A system over Z7
Task number: 2480
Determine all solutions of a system of equations with the following extended matrix over Z7:
(350112241323)
Resolution
We first add twice the first row to both the second and the third row. Then we add three times the second row to the third.
(350112241323)∼(350105260625)∼(350105260012)
In the backward substitution we need to divide by five, that is equivalent with the multiplication by three (and vice versa).
Result
x=(2,6,2)T.
