An augmented matrix [A]b] has been formed for a system of equations Ax = b, and then Gaussian elimination was carried out to produce the augmented matrix [R|c] in reduced row echelon form. (a) Does the system Ax = b have (i) no solutions, (ii) one solution, or (iii) infinitely many solutions? 1 0 0 ³8 [R]c] = 0 1 0 3 001 2 1 -5 (b) Explain how you know the answer to question (a)

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