Neco 2025 Further Mathematics Question 46

Practice objective / multiple choice question 46 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 46 NECO • 2025 • FURTHER_MATHEMATICS • objective

The matrix \(A = \begin{pmatrix}2 & k\\ k & 5\end{pmatrix}\) has integer entries. Determine all integer values of \(k\) for which \(A\) is invertible and its inverse also has integer entries. Then find the trace of \(A^{-1}\).

Answer Options

A. 5
B. 11
Correct Answer C. 7
D. 9
Correct Answer
C
Correct Option:
7

About This Question

This is Neco 2025 Further Mathematics Question 46. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Medium .

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