Question: A1. Given that A = 3 + 6, B = 2+ 6k, and C = 3 - 2+ k, (a) find A B . (2

A1. Given that A = 3 + 6, B = 2+ 6k, and C = 3 - 2+ k, (a) find A B . (2 marks) (b) find the angle between A, and C. State whether the angle is an acute angle. (6 marks) A2. (a) Given A = 3 +0.75k and B = k + 3k, where k is a scalar constant. Find the value of k if is parallel to B. (4 marks) (b) By using the method of separation of variables, find the general solution of dy sin 3x dx cos 4y 15 -3 A3. (a) If A = [52], determine, A, adj(A), det(A) and A-. 14 (4 marks) (4 marks) (b) By using Cramer's rule only, solve the following system of linear equations: 13 50- (4 marks) 15

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