WAEC Further Mathematics 2015 Question 8

Question 8

Matrices and Determinants

Given that P = (−2 1 / 3 4) and Q = (5 −3 / 2 −1), find PQ − QP. (Matrices written row by row; / separates the rows.)

  1. A.(0 0 / 0 0)
  2. B.(27 12 / 16 −15)
  3. C.(−20 −6 / 12 −8)
  4. D.(11 12 / 30 −11)
Show the answer and explanation

Answer: D ((11 12 / 30 −11))

Explanation

PQ = (−8 5 / 23 −13) and QP = (−19 −7 / −7 −2). PQ − QP = (11 12 / 30 −11).