Gce Model Questions Vol1 2018 Further Mathematics Question 41
Practice objective / multiple choice question 41 from the 2018 Gce Model Questions Vol1 Further Mathematics examination.
The matrix \(A\) is given by \[ A = \begin{pmatrix} 1 & 2 & k \\ 0 & 1 & 3 \\ k & 0 & 1 \end{pmatrix}. \] Find all real values of the parameter \(k\) for which (i) \(A\) is invertible and (ii) the inverse matrix \(A^{-1}\) has integer entries. For those values of \(k\), determine the determinant of \(A\).
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About This Question
This is Gce Model Questions Vol1 2018 Further Mathematics Question 41. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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