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WAEC Further Mathematics 2011 Question 18

Question 18

Matrices and Determinants

If (3 2 / 7 x)(2 / 3) = (12 / 29), find the value of x. (The 2 × 2 matrix is written row by row; the others are column vectors written top / bottom.)

  1. A.5
  2. B.6
  3. C.7
  4. D.8
Show the answer and explanation

Answer: A (5)

Explanation

The second row gives 7 × 2 + 3x = 29, so 3x = 15 and x = 5.