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4. (a) Determine whether the nonhomogeneous system Ax=b is consistent; and (b) if the system is consistent, write the solution in the form x

4. (a) Determine whether the nonhomogeneous system Ax=b is consistent; and (b) if the system is consistent, write the solution in the form x = x + Xp where x is a solution of Ax = 0 and xp is a particular solution of Ax = b. x + 3y + 10z = 18 -2x + 7y + 32z = 29 -x + 3y + 14z 12 x + y + 2z = 8

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