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WAEC Further Mathematics 2023 Question 21

Question 21

Matrices and Determinants

A linear transformation on the oxy plane is defined by P: (x, y) → (2x + y, −2y). Find P2. (Matrices written row by row; / separates the rows.)

  1. A.(4 1 / 0 4)
  2. B.(4 0 / 1 4)
  3. C.(4 0 / 0 4)
  4. D.(4 4 / 0 0)
Show the answer and explanation

Answer: C ((4 0 / 0 4))

Explanation

P = (2 1 / 0 −2). P² = (2×2 + 1×0, 2×1 + 1×(−2) / 0, (−2)(−2)) = (4 0 / 0 4).