MATHEMATICS

JAMB 2007 - Question 25

Mathematics 2007 JAMB Past Questions - Question 25: If f(x)=3x-2,P=(2,1) and I is 2 x 2 identity matrix, evaluate f(P) ; (-1 0) ;

If f(x)=3x-2,P=(2,1) and I is 2 x 2 identity matrix, evaluate f(P) ; (-1 0) ;
A:
B:
C:
D:
Examkits App

Examkit's JAMB CBT App

Practice JAMB offline with our Online, PC and Mobile App

  • ✅ 25+ years of past questions (2000 to 2025)
  • ✅ Video solutions and explanation to questions
  • ✅ E-library
  • ✅ Study by topic
  • ✅ And more.

Correct Answer

D

Explanation

To evaluate f(P), where P is the matrix (2, 1), we substitute the values of P into the function f(x) = 3x - 2.f(P) = 3P - 2Substituting P = (2, 1):f(P) = 3(2, 1) - 2      = (6, 3) - 2      = (6 - 2, 3 - 2)      = (4, 1)Therefore, f(P) = (4, 1).Now, let's evaluate f(I), where I is the 2 x 2 identity matrix:f(I) = 3I - 2Substituting I = (1 0, 0 1):f(I) = 3(1 0, 0 1) - 2      = (3, 0, 0, 3) - 2      = (3 - 2, 0 - 2, 0 - 2, 3 - 2)      = (1, -2, -2, 1)Therefore, f(I) = (1, -2, -2, 1).