JAMB Mathematics 2010 Objective — Question 27

Question 27 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

27. If P = (2 -3; 1 1), what is P^-1? A. matrix1 B. matrix2 C. matrix3 D. matrix4

A. [-1/5 -3/5; -1/5 2/5]
B. [1/5 3/5; -1/5 2/5]
C. [1/5 -3/5; 1/5 2/5]
D. [1/5 3/5; -1/5 2/5]Correct

Explanation

For A=(a b;c d), A^-1 = 1/(ad-bc) (d -b; -c a). Here ad-bc=2(1)-(-3)(1)=5. P^-1 = (1/5)(1 3; -1 2).

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