JAMB Mathematics 2017 Question 25

Question 25

Matrices and Determinants

If N = [3 5 −4; 6 −3 −5; −2 2 1] find |N| (matrix written row by row, rows separated by ;)

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

Answer: A (17)

Explanation

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