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5 marksMatrix Representation of Transformations

CSEC Mathematics · May/June 2005 · Paper 2 · Question 14(b)

The matrix \begin{pmatrix} p & q \\ r & s \end{pmatrix} maps A (1, -3) onto A' (9, -11) and B (-1, 2) onto B' (-7, 6).

Determine the values p, q, r and s.

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Other parts of this question

  1. 14(a)(i)Write down a 2 x 3 matrix, A, to represent this information.[2 marks]
  2. 14(a)(ii)Write down a 1 x 2 matrix, B, to represent this information.[1 mark]
  3. 14(a)(iii)Calculate the matrix product BA. What does the product BA represent?[3 marks]
  4. 14(a)(iv)a)Write the total profit made as a product of two matrices.[2 marks]
  5. 14(a)(iv)b)Calculate the total profit made on the transaction.[2 marks]

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