Further Mathematics Paper 2 WASSCE private candidates second series 2019

Question 11

Two linear transformations P and Q, in the 0xy plane are defined by


P: (x, y) → (x + 2y, x)


Q: (x, y) → (x + y, −x + 2y)


  1. Write down the matrices of P and Q.

  2. Find M such that 2P + 3Q – MQ = 5I, where M is a 2 × 2 matrix and I is a 2 × 2 identity matrix.

Observation

The Chief Examiner reported that this question was very popular among the candidates.


However, their performance was better in part (a) as than in part (b).