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OAU Post-UTME Mathematics 2023 Question 10

Question 10

Matrices and Determinants

Given that A = [2 3; 4 1] and B = [3 5; 6 2] compute 2B − A

  1. A.[4 8; 3 1]
  2. B.[3 2; 1 4]
  3. C.[4 7; 8 2]
  4. D.[4 7; 8 3]
Show the answer and explanation

Answer: D ([4 7; 8 3])

Explanation

2B = [6 10; 12 4]. Subtract A entry by entry: [6−2 10−3; 12−4 4−1] = [4 7; 8 3].