JAMB Mathematics 2007 Question 25

Question 25

Matrices and Determinants

If f(x) = 3x − 2, P = (2 1; −1 0) and I is 2 × 2 identity matrix, evaluate f(P). (Matrices written row by row.)

  1. A.(6 3; −3 0)
  2. B.(2 0; 0 2)
  3. C.(8 3; −3 2)
  4. D.(4 3; −3 −2)
Show the answer and explanation

Answer: D ((4 3; −3 −2))

Explanation

f(P) = 3P − 2I = (6 3; −3 0) − (2 0; 0 2) = (4 3; −3 −2).