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3 marksMatrix Representation of Transformations

CSEC Mathematics · May/June 2009 · Paper 2 · Question 14(b)(ii)

Transformation R is represented by the matrix ((-1, 0), (0, 1)). Transformation S is represented by the matrix ((0, 1), (-1, 0)).

Calculate the image of the point (5, -2) under the combined transformation in (b)(i) above.

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Other parts of this question

  1. 14(a)Calculate the values of x.[4 marks]
  2. 14(b)(i)Write a single matrix, in the form ((a, b), (c, d)), to represent the combined transformation S followed by R.[2 marks]
  3. 14(c)(i)Determine the inverse matrix of N.[2 marks]
  4. 14(c)(ii)Hence, calculate the value of x and the value of y for which 3x - y = 5 and 2x + 5y = 9.[4 marks]

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