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3 (a) Let A = -4 (i) Use the adjoint method to find the inverse of A. (4 marks) (ii) Use the matrix inverse method
3 (a) Let A = -4 (i) Use the adjoint method to find the inverse of A. (4 marks) (ii) Use the matrix inverse method and the result of (a)(i) to solve the system of linear equations 3x - 6X2 = 2, 2x, + 3x, - 4X3 = 3, 4x - 2x3 = 4. (5 marks) -4 -2 8 (iii) Use the result of (a)(i) to find the inverse of B = -6 4 -2 (4 marks) 8 0 (b) Let h: (0,00) -> R be a function such that h (x ) = 1-In x for every x > 0. x 2 (i) Find all the relative extreme point(s) and point(s) of inflexion, if any, of h. (7 marks) (ii) Furthermore, if h(1) = R+1, find h
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