Neco 2018 Further Mathematics Question 49
Practice objective / multiple choice question 49 from the 2018 Neco Further Mathematics examination.
Let \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) be a linear transformation represented by the matrix \(A=\begin{pmatrix}a&b\\c&d\end{pmatrix}\). It is known that \(T(1,2)=(3,5)\) and \(T(2,-1)=(0,k)\). Moreover, the transformation preserves orientation and enlarges areas by a factor of \(6\). Determine the value of \(k\) and the determinant of \(A\).
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About This Question
This is Neco 2018 Further Mathematics Question 49. It is one of the objective questions from the 2018 Neco Further Mathematics examination.
Difficulty level: Hard .
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