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WAEC Further Mathematics 2006 Question 19

Question 19

Matrices and Determinants

Which of the following matrices is a singular matrix?

  1. A.(1 0; 0 1)
  2. B.(2 1; 3 2)
  3. C.(3 8; 6 16)
  4. D.(0 1; 1 0)
Show the answer and explanation

Answer: C ((3 8; 6 16))

Explanation

A singular matrix has determinant 0. For (3 8; 6 16): 3 × 16 − 8 × 6 = 48 − 48 = 0.