(a) Given the linear system of equations: x + 2y – 3z = 1 3x – y + 2z = 2 5x + 3y – 4z = B X i. Write the system in matrix form Ax b where x = ly and find the det(A). (4 marks) ii. For which value of ß is there a solution to the system Ax = b? (6 marks) iii. For the value of ß calculated above in (ii), find the general solution of the system Ax = b. (6 marks)
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