Gce Model Questions Vol1 2021 Further Mathematics Question 24
Practice objective / multiple choice question 24 from the 2021 Gce Model Questions Vol1 Further Mathematics examination.
Let \(A=\begin{pmatrix}2 & a\\ b & 5\end{pmatrix}\) and \(B=\begin{pmatrix}2 & 1\\ 4 & 5\end{pmatrix}\). It is given that (i) \(\operatorname{tr}(A)=\operatorname{tr}(B)\), (ii) \(\det(AB)=12\), and (iii) the element in the first row, second column of \(AB\) equals 12. Find the ordered pair \((a,b)\).
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About This Question
This is Gce Model Questions Vol1 2021 Further Mathematics Question 24. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Medium .
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