Question: Three transformation 00 0 1 0-3 0 0 1 0 0 0 0 1 A = 1 0 matrices are shown below. 0 0

Three transformation 00 0 1 0-3 0 0 1 0 0 0 0 1 A = 1 0 matrices are shown below. 0 0 0 2 0 0 0 1 0 0 0 1, B

Three transformation 00 0 1 0-3 0 0 1 0 0 0 0 1 A = 1 0 matrices are shown below. 0 0 0 2 0 0 0 1 0 0 0 1, B = 1 0 0 0 C = 1 0 0 0 0 0 0 10 0 0 3 2 0 0 1/ a) For each matrix, describe the transformation that is achieved. [8 marks] b) A further transformation matrix D is required which combines the effects of matrices A and B. Explain why care must be taken in the ordering of transformation matrices.

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