Neco 2018 Further Mathematics Question 12

Practice objective / multiple choice question 12 from the 2018 Neco Further Mathematics examination.

Neco 2018 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 12 NECO • 2018 • FURTHER_MATHEMATICS • objective

Let \(B=\begin{pmatrix}p&1\\k&p\end{pmatrix}\) where \(p\) and \(k\) are integers. Suppose that \(B^{-1}\) has integer entries. Find the smallest positive integer value of \(p\) for which this is possible and give the determinant of \(B^{-1}\) for that \(p\).

Answer Options

A. 3
B. 2
C. 4
Correct Answer D. 1
Correct Answer
D
Correct Option:
1

About This Question

This is Neco 2018 Further Mathematics Question 12. It is one of the objective questions from the 2018 Neco Further Mathematics examination.

Difficulty level: Medium .

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