Neco 2022 Further Mathematics Question 7
Practice objective / multiple choice question 7 from the 2022 Neco Further Mathematics examination.
A linear transformation \(T\) in the plane is represented by a matrix \(M = \begin{pmatrix} p & q \\ r & s \end{pmatrix}\). It is known that \(T\) maps the vector \((1,2)\) to \((5, a)\) and maps the vector \((3,-1)\) to \((b, 7)\), where \(a\) and \(b\) are positive integers less than 20. If all entries of \(M\) are integers, find the sum of all possible values of \(\det M\).
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About This Question
This is Neco 2022 Further Mathematics Question 7. It is one of the objective questions from the 2022 Neco Further Mathematics examination.
Difficulty level: Hard .
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