1. [18 marks] Consider the following matrices -3 3 1 3 -1 30 -- () --(639) -- () --(7) A = B = C = 3 0 D = 2 0 32 -1 3 W

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1 18 Marks Consider The Following Matrices 3 3 1 3 1 30 639 7 A B C 3 0 D 2 0 32 1 3 W 1 (61.94 KiB) Viewed 37 times

can someone please explain how to solve these problems
1. [18 marks] Consider the following matrices -3 3 1 3 -1 30 -- () --(639) -- () --(7) A = B = C = 3 0 D = 2 0 32 -1 3 Where possible, find the following. If not possible give the reason. (a) AB (b) DA (c) B+C (d) 2D + BC (e) AC (f) The value of x for which A does not have an inverse. 2. [9 marks] Consider the three matrices 1 1 0 2 2 3 1 ~(:D) - 0 -6 A = -1 0 1 B = C 3 3 1 6 -2 -3/ 2 4 1 (a) Show by calculating the product AC that C is the inverse matrix of A (b) Hence calculate the solution to the linear system AX = B. [3 marks] [3 marks] [3 marks] [3 marks] [3 marks] [3 marks] [4 marks] [5 marks]