Matrix associated to a system

A matrix of m rows and n columns (mxn) is an ordered table of numbers with the form:

← mth row

             2nd column ↑



         is a 3x4 matrix

Then, each system

    has two associated matrices:




Then the elementary operations are:
–To exchange two rows:  Ri ↔ Rj
–To substitute a row by a linear combination of all the rows:

            Ri↔ k1R1+k2R2+…+kiRi+…kmRm, ki ≠ 0, kj are real numbers, j = 1, 2, ….m


Exercise. Find the associated matrices to these systems:






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