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WAEC Further Mathematics 2008 Question 14

Question 14

Matrices and Determinants

If P = (1 −2; 3 4) and Q = (−2 3; 1 0), find PQ.

  1. A.(4 1; −2 9)
  2. B.(−4 1; 2 9)
  3. C.(−4 3; −2 13)
  4. D.(−4 3; −2 9)
Show the answer and explanation

Answer: D ((−4 3; −2 9))

Explanation

Row 1: (1)(−2) + (−2)(1) = −4 and (1)(3) + (−2)(0) = 3. Row 2: (3)(−2) + (4)(1) = −2 and (3)(3) + 0 = 9.