Question # 23: A linear system is described by the following equations: 0 21 222 + x3 2x1 + x2 3.23 401 7:22 +23 5 = -1 Solve the above linear system by answering the following: 1. (2 Marks) Does this system have any unique solution? Why or why not? 2. (3 Marks) Find the upper triangular matrix U. 3. (3 Marks) Solve the above linear system by Gaussian elimination method. Show your work. 4. (2 Marks) Suppose, you have constructed an Augmented matrix from a different linear system as given below, 1 -2 0 0 1 6 4 1 -68 0 9 Explain why the Gaussian elimination method fails to solve this system? Also explain how we can overcome the problem to actually solve it (you do not have to solve this system)