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8 marksCombined Transformations

CSEC Mathematics · January 2004 · Paper 2 · Question 14(c)(iii)

V is the transformation represented by the matrix [[1, 0], [0, -1]] and W is the transformation represented by the matrix [[-1, 0], [0, -1]].

Write the single matrix [[p, r], [q, p]], which represents the combined transformation, V followed by W.

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Other parts of this question

  1. 14(a)Calculate the value of p.[2 marks]
  2. 14(b)(i)Express the pair of equations in the form AX = B, where A, X and B are matrices.[5 marks]
  3. 14(b)(ii)Determine the inverse of matrix A.[5 marks]
  4. 14(b)(iii)Evaluate: A⁻¹B.[5 marks]
  5. 14(c)(i)Describe FULLY the transformation, V.[8 marks]
  6. 14(c)(ii)Describe FULLY the transformation, W.[8 marks]
  7. 14(c)(iv)Calculate the image of the point (6,-4) under the combined transformation in (c) (iii) above.[8 marks]

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