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2 marksInverse of a 2x2 Matrix

CSEC Mathematics · May/June 2008 · Paper 2 · Question 14(b)

The matrix (2 1 / 1 3) maps Q (1, 2) to Q'(5, 7).

Find the 2 x 2 matrix which maps Q' back to Q.

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Other parts of this question

  1. 14(a)Evaluate X² + Y.[4 marks]
  2. 14(c)(i)a)Determine the value of k.[4 marks]
  3. 14(c)(i)b)Hence write down the coordinates of E' and F'.[4 marks]
  4. 14(c)(ii)a)Determine the 2 x 2 matrix that represents a clockwise rotation of 90° about the origin.[5 marks]
  5. 14(c)(ii)b)Determine the coordinates of D''E''F'', the image of D'E'F', under this rotation.[5 marks]
  6. 14(c)(ii)c)Determine the 2 x 2 matrix that maps triangle DEF onto triangle D''E''F''.[5 marks]

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