Question: Let A, B and O be as below. 3 A 3 B (a) (4 marks) Calculate the following matrix: 2(AB) = (b) (4 marks) Calculate

Let A, B and O be as below. 3 A 3 B (a) (4 marks) Calculate the following matrix: 2(AB) = (b) (4 marks) Calculate the following matrix: CBA5 y such that AB = BA where B is the matrix 0 5 Find all matrices A of the form 0 0 0 3 0 0 0 A= 0 0 0 0Consider the following system of linear equations: -3r1 + 912 6:13 = -3 311 8:12 + 5:23 = -2 2612 + 1513 = -5 This system is equivalent to the vector equation Ax = b where -3 9 Co A= 3 -8 5 and b = CT N -26 15 (6 marks) Calculate the inverse of the matrix A: A-1= (1 mark) Use A to solve the system of linear equations above.(5 marks) Find a counterexample that shows that if A and B are two n x n symmetric matrices, then their product AB is not always symmetric. In other words, find two n x n symmetric matrices A and B such that their product AB is not symmetric.Let M = Below, if you need to enter

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