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JAMB Mathematics 2006 Question 40

Question 40

Matrices and Determinants

If x = (1 0 1; 2 −1 0; −1 0 1) and y = (−1 1 2; 0 −1 −1; 2 −1 1), find 2x − y. (Matrices written row by row.)

  1. A.(3 −1 0; 4 −3 −1; −4 1 1)
  2. B.(3 −1 0; 4 −3 1; −4 1 1)
  3. C.(3 −1 0; 4 −1 1; −4 1 1)
  4. D.(3 −1 0; 4 1 1; −4 −1 1)
Show the answer and explanation

Answer: C ((3 −1 0; 4 −1 1; −4 1 1))

Explanation

2x = (2 0 2; 4 −2 0; −2 0 2). Subtracting y entry by entry gives (3 −1 0; 4 −1 1; −4 1 1).