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6 marksMatrix Representation of Transformations

CSEC Mathematics · January 2005 · Paper 2 · Question 14(b)(i)

Under a transformation T, represented by the matrix [[p, q], [r, s]], the points A (-4, 2) and B (-2, 5) are mapped onto A' (-2, 4) and B' (-5, 2) respectively. Using a matrix method:

Determine the values of p, q, r and s.

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Other parts of this question

  1. 14(a)(i)Find the inverse of the matrix M = [[2, 1], [-1, 3]].[2 marks]
  2. 14(a)(ii)Calculate the values of x and y for which M * [[x], [y]] = [[12], [1]].[4 marks]
  3. 14(b)(ii)Calculate the coordinates of the point C' which is the image of C (-2, 2) under T.[3 marks]

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