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2 marksInverse of a 2x2 Matrix

CSEC Mathematics · January 2017 · Paper 2 · Question 11(a)(iv)

The matrix T = [[c, 0], [0, d]] maps the point P(2, 3) onto the point Q(2, -3).

Find the matrix that maps the point Q back onto the point P.

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Other parts of this question

  1. 11(a)(i)Determine the values of c and d.[2 marks]
  2. 11(a)(ii)Determine the image of (-5, 4) under the transformation T.[1 mark]
  3. 11(a)(iii)Describe fully the transformation T.[2 marks]
  4. 11(b)(i)Write as a column vector in the form [x, y]: the vector OP[1 mark]
  5. 11(b)(ii)Write as a column vector in the form [x, y]: the vector QR.[2 marks]
  6. 11(b)(iii)Determine the magnitude of the vector QR.[2 marks]
  7. 11(b)(iv)On the graph provided on page 33, draw the vector OS = [7, 4]. Show that PQRS is a parallelogram.[3 marks]

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