Consider the non-homogeneous system of linear equations Ar=b represented by 3x15x2 +223 +424 = 2 71-4x2 + x3 + 3x4 521+crâ‚‚-423-624 = 3 1 CER is a constant 1. Write out the augmented matrix (Ab) and apply elementary row operations to find rref(Ab). You must show the intermediate matrices and describe the row operations you used. 2. Make a conclusion about the correlation between the value of the parameter c and rank(A) (rank(Alb)). 3. Find auch values of c that the system is consistent. How many solutions does the system have? Choose any of such c's and find a representation of the general solution.
