Gce Model Questions Vol1 2025 Further Mathematics Question 27
Practice objective / multiple choice question 27 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
Let \(A = \begin{pmatrix} 2 & k \\ 3 & 5 \end{pmatrix}\) where \(k\) is an integer. Find all integer values of \(k\) for which \(A\) is invertible and the inverse matrix \(A^{-1}\) has only integer entries. For the smallest positive such \(k\), give the trace of \(A^{-1}\).
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About This Question
This is Gce Model Questions Vol1 2025 Further Mathematics Question 27. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Medium .
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