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WAEC Further Mathematics 2012 Question 16

Question 16

Matrices and Determinants

Given that P = (2 1 / 5 −3) and Q = (4 −8 / 1 −2), find (2P − Q). (Matrices are written row by row.)

  1. A.(−6 17 / 3 1)
  2. B.(−2 9 / 4 1)
  3. C.(0 −6 / 9 −8)
  4. D.(0 10 / 9 −4)
Show the answer and explanation

Answer: D ((0 10 / 9 −4))

Explanation

2P = (4 2 / 10 −6). Subtract Q entry by entry: (4 − 4, 2 + 8 / 10 − 1, −6 + 2) = (0 10 / 9 −4).