Linear system and matrices: For the system of linear equations, the matrix representation is,where



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We need solve for 3 linear systems with common coefficient matrix A and the constant vectors . The associated augmented matrices for the 3 linear systems are
, , .

We need to transform the 3 augmented matrices in reduced row echelon forms. Adding the first row to the third row is the first step. The resulting matrices are



, , .




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