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Consider the following set of equations in variables $1, 12, 13: F1 + 2x2 + 313 = 1 2x2 + 313 = 2 1 +

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Consider the following set of equations in variables $1, 12, 13: F1 + 2x2 + 313 = 1 2x2 + 313 = 2 1 + mrs = 5 Assume that m is a parameter. Write the system of equations (1) - (3) in matrix form: Ar = b. Clearly label the orders of the matrices A, I,b. b Calculate the determinant of the coefficient matrix A. What values must m take for there to exist a unique solution to the system of equations (1) - (3)? C Suppose that a solution to (1) - (3) exists. Use one of the following 3 methods to find the solution: (a) Gauss Jordan Method (b) Cramer's Rule or (c) Matrix inverse

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