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JAMB Mathematics 2002 Question 24

Question 24

Matrices and Determinants

If N = [3, 5, −4; 6, −3, −5; −2, 2, 1], find |N|

  1. A.17
  2. B.23
  3. C.65
  4. D.91
Show the answer and explanation

Answer: A (17)

Explanation

Expanding along the first row: 3(−3 + 10) − 5(6 − 10) + (−4)(12 − 6) = 21 + 20 − 24 = 17.