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3 marksMatrix Problem Solving

CSEC Mathematics · January 2011 · Paper 2 · Question 11(a)(i)

Under a matrix transformation, M = [[a, b], [c, d]], points V and W are mapped onto V' and W' such that V(3,5) → V'(5,-3) and W(7,2) → W'(2,-7).

Determine the values of a, b, c and d.

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Other parts of this question

  1. 11(a)(ii)State the coordinates of Z such that Z(x,y) → Z'(5,1) under the transformation, M.[2 marks]
  2. 11(a)(iii)Describe FULLY the geometric transformation, M.[2 marks]
  3. 11(b)(i)a)Write in the form [[a], [b]] the vector OP.[3 marks]
  4. 11(b)(i)b)Write in the form [[a], [b]] the vector OR.[1 mark]
  5. 11(b)(ii)a)Find RS.[5 marks]
  6. 11(b)(ii)b)Show that P, R and S are collinear.[1 mark]

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