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QUESTION 2 a) Consider the following system of linear equations X + 4y Z = O - 9y + 5z -1 - 2y - mz m Find the value(s) of m such that the system has i) No solution (5 marks) ii) Many solutions (3 marks) iii) Unique solution (3 marks)1 0 -5 1 O 5 b) Given A = 0 3 2 and B= 0 - -4 2 0 3 1 i) Find the elementary matrices E, and Ez such that B = E,E,A (4 marks) ii) Find the inverse matrices E, 1 and Ez-1. (3 marks) iii) Express A as a product of elementary matrices and B. Do not solve the matrix. (2 marks)

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