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2 marksMatrix Representation of Transformations

CSEC Mathematics · Question 10(a)(i)

A transformation M = [[0, p], [q, 0]] maps point R onto R' as shown on a diagram.

Determine the values of p and q.

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Other parts of this question

  1. 10(a)(ii)Describe fully the transformation, M.[3 marks]
  2. 10(b)(i)a)Write in terms of u and v an expression for vector QS.[1 mark]
  3. 10(b)(i)b)Write in terms of u and v an expression for vector QM.[1 mark]
  4. 10(b)(ii)Show that vector MR = 1/3(u + 2v).[2 marks]
  5. 10(b)(iii)Prove that R, M and T are collinear.[3 marks]

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