For each of the systems that follow, apply Exercise 3 to determine whether the system is
Chapter 3, Problem 4(choose chapter or problem)
For each of the systems that follow, apply Exercise 3 to determine whether the system is consistent. If the system is consistent, find all solutions. Finally, find a basis for the solution set of the corresponding homogeneous system. X\ + X2 3x3 + X4 = 2 (b) xi + x2 + x3 - X4 = 2 xi + x2 - x3 = 0 xi + 2x2 X3 + X4 = 2 (a) 2xi + x2 + x3 - x4 = 3 xi + 2x2 ~~ 3x3 + 2.T4 = 2 Xi + X2 3X3 + X4 = 1 (c) Xi + X2 + X3 - X4 = 2 Xi + X2 X3 = 0
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