JAMB Mathematics 2008 Question 23

Question 23

Matrices and Determinants

Find the values of x and y respectively if (1 0; −1 −1; 2 2) + (x 1; −1 0; y −2) = (−2 1; −2 −1; −3 0) (matrices written row by row)

  1. A.−3, −2
  2. B.−5, −3
  3. C.−2, −5
  4. D.−3, −5
Show the answer and explanation

Answer: D (−3, −5)

Explanation

Top-left: 1 + x = −2, so x = −3. Bottom-left: 2 + y = −3, so y = −5.