Question: Consider the linear system X1 + 4x2 - 2x3 = 1 X1 + 7x2 - 6X3 = 6 3x2 - qX3 = t where q

Consider the linear system X1 + 4x2 - 2x3 = 1 X1 + 7x2 - 6X3 = 6 3x2 - qX3 = t where q and t are parameters. (a) (2 marks) Find the coefficient matrix A of the system. (b) (1 marks) Find the augmented matrix of the system. (c) (5 marks) For which values of q and t the system has an infinite number of solutions? (d) (3 marks) For which values of q and t the system has no solution? (e) (7 marks) What is the solution set of the system if q = 0 and t =-3

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