Question 25
Matrices and DeterminantsIf f(x) = 3x − 2, P = (2 1; −1 0) and I is 2 × 2 identity matrix, evaluate f(P). (Matrices written row by row.)
- A.(6 3; −3 0)
- B.(2 0; 0 2)
- C.(8 3; −3 2)
- 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).