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5 marksMatrix Problem Solving

CSEC Mathematics · 2003 (Specimen) · Paper 2 · Question 14(a)

Matrix algebra and transformation matrices.

Use a matrix method to solve the equations: 3x - y = 5 and 2x + 5y = 9.

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Other parts of this question

  1. 14(b)(i)State the matrix S that represents the transformation, a reflection in the line y = x.[1 mark]
  2. 14(b)(ii)State the matrix T that represents the transformation, a reflection in the x-axis.[1 mark]
  3. 14(c)(i)Calculate the single matrix TS.[2 marks]
  4. 14(c)(ii)Calculate the single matrix ST.[2 marks]
  5. 14(d)(i)Describe COMPLETELY the single transformation represented by TS.[2 marks]
  6. 14(d)(ii)Describe COMPLETELY the single transformation represented by ST.[2 marks]

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