Neco 2018 Further Mathematics Question 26
Practice objective / multiple choice question 26 from the 2018 Neco Further Mathematics examination.
The matrix \(A\) is defined by \(A = \begin{pmatrix} a & 2 \\ 3 & a+1 \end{pmatrix}\) where \(a\) is a real number. Let \(B = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}\) and suppose that \(AB = \begin{pmatrix} k & 5 \\ 6 & k+1 \end{pmatrix}\). Determine the value of \(k\) for which the determinant of \(A\) is maximised, and give that maximum determinant.
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About This Question
This is Neco 2018 Further Mathematics Question 26. It is one of the objective questions from the 2018 Neco Further Mathematics examination.
Difficulty level: Medium .
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