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WAEC Further Mathematics 2014 Question 14

Question 14

Matrices and Determinants

If T = (−2 −5 / 3 8), find T−1, the inverse of T. (Matrices written row by row; / separates the rows.)

  1. A.(−8 −5 / 3 2)
  2. B.(−8 −5 / 3 −2)
  3. C.(−8 −5 / −3 2)
  4. D.(−8 −5 / −3 −2)
Show the answer and explanation

Answer: A ((−8 −5 / 3 2))

Explanation

|T| = −16 + 15 = −1. T⁻¹ = (1/−1)(8 5 / −3 −2) = (−8 −5 / 3 2).