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JAMB Mathematics 2015 Objective — Question 33

Question 33 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

A matrix P has an inverse P⁻¹ = [[1,−3],[0,1]]. Find P.

A. [[1,3],[0,1]]Correct
B. [[−1,3],[0,−1]]
C. [[1,3],[0,−1]]
D. [[1,−3],[0,−1]]

Explanation

|P⁻¹| = 1. P = adj(P⁻¹)/|P⁻¹| = [[1,3],[0,1]].

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