JAMB Mathematics 1995 Question 25

Question 25

Matrices and Determinants

If X = (1 2; 0 3) and Y = (2 1; 4 3) find XY.

Diagram for this question
  1. A.(10 7; 12 9)
  2. B.(2 7; 4 17)
  3. C.(10 4; 4 6)
  4. D.(4 3; 10 9)
Show the answer and explanation

Answer: A ((10 7; 12 9))

Explanation

Multiply rows of X by columns of Y: first row (1×2 + 2×4, 1×1 + 2×3) = (10, 7); second row (0×2 + 3×4, 0×1 + 3×3) = (12, 9).