Question: 2p 4 - 2 4 5 Two matrices A and B are given by A = |4 6 and B = -5 q , where

2p 4 - 2 4 5 Two matrices A and B are given by A = |4 6 and B = -5 q , where -2 2 2 1 1 -1 p and q are real numbers. Find (a) the values of p, q and k such that AB =kI, where I is a 3 x 3 identity matrix. [4 marks] (b) the inverse matrix of A. Hence, solve the following system of linear equations. px + 2y - 2 = 7 2x - y + 3z =1 -xty+z=6 [7 marks]

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