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JAMB Mathematics 2006 Question 45

Question 45

Matrices and Determinants

Find p, q for which (2p 8; 3 −5q)(1; 2) = (24; −17). (Matrices written row by row.)

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

Answer: B (4, 2)

Explanation

Row 1: 2p + 16 = 24, so p = 4. Row 2: 3 − 10q = −17, so q = 2.