II) The number of equations is less than the number of unknowns (m <n)
Example:
1st step: We nullify all coefficients of the 1st unknown from the 2nd equation:


2nd step: We annul the coefficients of the 2nd unknown, from the 3rd equation:

The system is staggered. As m
GI = n  m
To solve an undetermined system, we proceed as follows:

GI = nm = 43 = 1 
As the degree of indeterminacy is 1, we assign to one of the unknowns a value supposedly known, and we solve the system for that value. Where t =, substituting this value in the 3rd equation, we get:
12z  6= 3012z = 30 + 6
=
Known z and t, we replaced these values in the 2nd equation:
Known z, t and y, we replaced these values in the 1st equation:
Thus, the system solution is given by S =, with
GO.
For each value that is assigned to , we will find a quadruple solution for the system.
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