Neco 2021 Further Mathematics Question 7
Practice objective / multiple choice question 7 from the 2021 Neco Further Mathematics examination.
Let \(A=\begin{pmatrix}2&1\\k&3\end{pmatrix}\) where \(k\) is an integer. It is known that \(A\) is invertible and that \(A^{-1}\) has only integer entries. Determine all possible values of \(k\) and then find the sum of all possible values of \(\det\bigl(A^{2}+I\bigr)\), where \(I\) is the \(2\times2\) identity matrix.
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About This Question
This is Neco 2021 Further Mathematics Question 7. It is one of the objective questions from the 2021 Neco Further Mathematics examination.
Difficulty level: Hard .
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