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4 marksMatrix Problem Solving

CSEC Mathematics · January 2014 · Paper 2 · Question 11(a)(ii)

The matrix, T, is such that T = [[2, -1], [1, 3]].

The matrix T maps the point (a, b) onto the point (4, 9). Determine the values of a and b.

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Other parts of this question

  1. 11(a)(i)Determine, T⁻¹, the inverse of T.[3 marks]
  2. 11(b)(i)Draw a sketch of the triangle OMN and label the points O, M, N and L.[2 marks]
  3. 11(b)(ii)a)Write in terms of m and n an expression for MN.[3 marks]
  4. 11(b)(ii)b)Write in terms of m and n an expression for ML.[3 marks]
  5. 11(b)(iii)Determine the position vector of L.[3 marks]

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