Neco 2018 Further Mathematics Question 2
Practice objective / multiple choice question 2 from the 2018 Neco Further Mathematics examination.
A linear transformation \(T\) on \(\mathbb{R}^{2}\) satisfies \(T\begin{pmatrix}1\\2\end{pmatrix}=\begin{pmatrix}3\\5\end{pmatrix}\) and \(T\begin{pmatrix}4\\-1\end{pmatrix}=\begin{pmatrix}2\\k\end{pmatrix}\). The image of \(\begin{pmatrix}7\\9\end{pmatrix}\) under \(T^{-1}\) has second component equal to \(2\). Find \(k\) and compute \(T^{-1}\begin{pmatrix}7\\9\end{pmatrix}\).
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About This Question
This is Neco 2018 Further Mathematics Question 2. It is one of the objective questions from the 2018 Neco Further Mathematics examination.
Difficulty level: Hard .
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