Neco 2023 Further Mathematics Question 4
Practice objective / multiple choice question 4 from the 2023 Neco Further Mathematics examination.
Let the linear transformation \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) be represented by the matrix \(B=\begin{pmatrix}a&b\\c&d\end{pmatrix}\). It satisfies \(B\begin{pmatrix}1\\2\end{pmatrix}=\begin{pmatrix}5\\1\end{pmatrix}\) and \(B\begin{pmatrix}3\\-1\end{pmatrix}=\begin{pmatrix}k\\4\end{pmatrix}\). If additionally \(\det B =2\), determine the value of \(k\) and the trace of \(B\).
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About This Question
This is Neco 2023 Further Mathematics Question 4. It is one of the objective questions from the 2023 Neco Further Mathematics examination.
Difficulty level: Hard .
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