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2 marksMatrix Representation of Transformations

CSEC Mathematics · May/June 2006 · Paper 2 · Question 14(b)(ii)

The graph below shows the line segment AC and its image A'C' after a transformation by the matrix [[p, q], [r, s]].

Using matrices only, write an equation to represent the transformation of AC onto A'C'.

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Other parts of this question

  1. 14(a)(i)Calculate the value of x.[3 marks]
  2. 14(a)(ii)find M⁻¹.[2 marks]
  3. 14(a)(iii)Show that M⁻¹M = I.[2 marks]
  4. 14(b)(i)a)Write in the form of a single 2 × 2 matrix, the coordinates of A and C[2 marks]
  5. 14(b)(i)b)Write in the form of a single 2 × 2 matrix, the coordinates of A' and C'.[2 marks]
  6. 14(b)(iii)Determine the values of p, q, r and s.[2 marks]

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