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JAMB Mathematics 2001 Question 19

Question 19

Matrices and Determinants

Evaluate the determinant |−1, −1, −1; 3, 1, −1; 1, 2, 1|

  1. A.4
  2. B.−2
  3. C.−4
  4. D.−12
Show the answer and explanation

Answer: C (−4)

Explanation

Expanding along the first row: −1(1 + 2) − (−1)(3 + 1) + (−1)(6 − 1) = −3 + 4 − 5 = −4.