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JAMB Mathematics 2023 Objective — Question 17

Question 17 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

Find the inverse of A=[[5,3],[6,4]].

A. [[2,-3/2],[-3,5/2]]
B. [[-2,3/2],[-3,5/2]]
C. [[2,-3/2],[-3,5/2]] (repeat)Correct
D. [[-2,-3/2],[-3,-5/2]]

Explanation

|A|=(5)(4)-(3)(6)=2. A⁻¹=(1/2)[[4,-3],[-6,5]]=[[2,-3/2],[-3,5/2]].

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