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JAMB Mathematics 2005 Question 23

Question 23

Matrices and Determinants

If P = (1 3 2; 4 5 −1; −3 2 0), find the determinant of matrix P. (Matrix written row by row.)

  1. A.75
  2. B.57
  3. C.−57
  4. D.−75
Show the answer and explanation

Answer: B (57)

Explanation

Expanding along the first row: 1(0 + 2) − 3(0 − 3) + 2(8 + 15) = 2 + 9 + 46 = 57.