Provide complete and clear solution for each question. Work Problem 1 ( Given the system -2x + 3y - z = 1 x - 2yz = 4 2x 1y + z = −3 - A. Create an augmented matrix B. Solve the system by Gauss elimination method Replace the right side of equations in the system by zeros and explain, whether this system has a nontrivial solution. C. Is the coefficient matrix nonsingular? (explain your answer) if yes, find the inverse

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