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OAU Post-UTME Mathematics 2021 (Batch B) Question 10

Question 10

Matrices and Determinants

Given the matrix M = [2 −4 −4; 1 8 2; 1 1 −2], find |M|.

  1. A.−24
  2. B.−8
  3. C.8
  4. D.24
Show the answer and explanation

Answer: A (−24)

Explanation

Expand along the top row: 2(−16 − 2) + 4(−2 − 2) − 4(1 − 8) = −36 − 16 + 28 = −24.