1. Consider the given matrix A and do the following: 1 3 2 -4 -2 1 4 -1 A = 1 4 -2 a) Convert the matrix A into its Row Echelon Form (REF) and Reduced Row Echelon Form (RREF). b) If we take A as the augmented matrix of a linear system, find all solutions of the system. C) If we take A as the coefficient matrix of a homogeneous system, find all solutions of the system.

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A: Step 1: Step 2: Step 3: Step 4:

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