JAMB Mathematics 2008 Objective — Question 24

Question 24 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

If (-2 1; 2 3)(p q; r s) = (1 0; 0 1), what is the value of r?

A. -3/8
B. 3/8
C. 5/8
D. 1/4Correct

Explanation

Solving the system from the identity matrix equation: -2p+r=1 and 2p+3r=0. Adding gives 4r=1, so r=1/4.

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