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JAMB Mathematics 2007 Objective — Question 22

Question 22 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2007 Objective paper, with the correct answer and a full explanation.

If f(x)=3x-2, P = (2,1/-1,0), and I is a 2x2 identity matrix, evaluate f(P).

A. (8,3/-3,-2)
B. (6,3/-3,-2)
C. (4,3/-3,-2)Correct
D. (2,0/0,2)

Explanation

f(P)=3P-2I = 3(2,1/-1,0) - 2(1,0/0,1) = (6,3/-3,0) - (2,0/0,2) = (4,3/-3,-2).

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